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212012120201200 = 245211163192952667
BaseRepresentation
bin110000001101001011101011…
…000111001101011111110000
31000210200011100012000011202121
4300031023223013031133300
5210242101310232414300
62030525005021324024
762441240660333554
oct6015135307153760
91023604305004677
10212012120201200
116160a920788760
121b941452106614
13913b8709aa947
143a4d62718d864
151979dc607581a
hexc0d2eb1cd7f0

212012120201200 has 120 divisors (see below), whose sum is σ = 555698731576320. Its totient is φ = 77090566060800.

The previous prime is 212012120201159. The next prime is 212012120201251. The reversal of 212012120201200 is 2102021210212.

It is a happy number.

It is a super-2 number, since 2×2120121202012002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70327267 + ... + 73279933.

It is an arithmetic number, because the mean of its divisors is an integer number (4630822763136).

Almost surely, 2212012120201200 is an apocalyptic number.

212012120201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012120201200 is an abundant number, since it is smaller than the sum of its proper divisors (343686611375120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212012120201200 is a wasteful number, since it uses less digits than its factorization.

212012120201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969015 (or 2969004 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212012120201200 its reverse (2102021210212), we get a palindrome (214114141411412).

The spelling of 212012120201200 in words is "two hundred twelve trillion, twelve billion, one hundred twenty million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 16319 32638 65276 81595 130552 163190 179509 261104 326380 359018 407975 652760 718036 815950 897545 1305520 1436072 1631900 1795090 2872144 2952667 3263800 3590180 4487725 5905334 6527600 7180360 8975450 11810668 14360720 14763335 17950900 23621336 29526670 32479337 35901800 47242672 59053340 64958674 71803600 73816675 118106680 129917348 147633350 162396685 236213360 259834696 295266700 324793370 519669392 590533400 649586740 811983425 1181066800 1299173480 1623966850 2598346960 3247933700 6495867400 12991734800 48184572773 96369145546 192738291092 240922863865 385476582184 481845727730 530030300503 770953164368 963691455460 1060060601006 1204614319325 1927382910920 2120121202012 2409228638650 2650151502515 3854765821840 4240242404024 4818457277300 5300303005030 8480484808048 9636914554600 10600606010060 13250757512575 19273829109200 21201212020120 26501515025150 42402424040240 53003030050300 106006060100600 212012120201200