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212211222011220 = 223543142971909741
BaseRepresentation
bin110000010000000101000110…
…100000010101110101010100
31000211101012020221012002020110
4300100011012200111311110
5210303332040313324340
62031200253424203020
762461516623651105
oct6020050640256524
91024335227162213
10212211222011220
1161687301543493
121b973b58a69470
139154580bb8253
143a59113c663ac
15198017a729680
hexc10146815d54

212211222011220 has 96 divisors (see below), whose sum is σ = 595708969314816. Its totient is φ = 56445192115200.

The previous prime is 212211222011171. The next prime is 212211222011227. The reversal of 212211222011220 is 22110222112212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211222011227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110165550 + ... + 112075290.

It is an arithmetic number, because the mean of its divisors is an integer number (6205301763696).

Almost surely, 2212211222011220 is an apocalyptic number.

212211222011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211222011220 is an abundant number, since it is smaller than the sum of its proper divisors (383497747303596).

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

212211222011220 is a wasteful number, since it uses less digits than its factorization.

212211222011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914481 (or 1914479 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 212211222011220 its reverse (22110222112212), we get a palindrome (234321444123432).

The spelling of 212211222011220 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 431 862 1293 1724 2155 2586 4297 4310 5172 6465 8594 8620 12891 12930 17188 21485 25782 25860 42970 51564 64455 85940 128910 257820 1852007 1909741 3704014 3819482 5556021 5729223 7408028 7638964 9260035 9548705 11112042 11458446 18520070 19097410 22224084 22916892 27780105 28646115 37040140 38194820 55560210 57292230 111120420 114584460 823098371 1646196742 2469295113 3292393484 4115491855 4938590226 8206157077 8230983710 9877180452 12346475565 16412314154 16461967420 24618471231 24692951130 32824628308 41030785385 49236942462 49385902260 82061570770 98473884924 123092356155 164123141540 246184712310 492369424620 3536853700187 7073707400374 10610561100561 14147414800748 17684268500935 21221122201122 35368537001870 42442244402244 53052805502805 70737074003740 106105611005610 212211222011220