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212000121200 = 24527711066399
BaseRepresentation
bin1100010101110000110…
…0010010000101110000
3202021012122122000002202
43011130030102011300
511433134012334300
6241220322202332
721213363204050
oct3053414220560
9667178560082
10212000121200
11819aa5a593a
12351064b33a8
1316cb74c6bca
14a391b31560
1557abc1aad5
hex315c312170

212000121200 has 120 divisors (see below), whose sum is σ = 590290790400. Its totient is φ = 71661945600.

The previous prime is 212000121181. The next prime is 212000121209. The reversal of 212000121200 is 2121000212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000121209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334400 + ... + 731999.

It is an arithmetic number, because the mean of its divisors is an integer number (4919089920).

Almost surely, 2212000121200 is an apocalyptic number.

212000121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000121200 is an abundant number, since it is smaller than the sum of its proper divisors (378290669200).

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

212000121200 is a wasteful number, since it uses less digits than its factorization.

212000121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066495 (or 1066484 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212000121200 its reverse (2121000212), we get a palindrome (214121121412).

The spelling of 212000121200 in words is "two hundred twelve billion, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 71 80 100 112 140 142 175 200 280 284 350 355 400 497 560 568 700 710 994 1136 1400 1420 1775 1988 2485 2800 2840 3550 3976 4970 5680 7100 7952 9940 12425 14200 19880 24850 28400 39760 49700 99400 198800 1066399 2132798 4265596 5331995 7464793 8531192 10663990 14929586 17062384 21327980 26659975 29859172 37323965 42655960 53319950 59718344 74647930 75714329 85311920 106639900 119436688 149295860 151428658 186619825 213279800 298591720 302857316 373239650 378571645 426559600 530000303 597183440 605714632 746479300 757143290 1060000606 1211429264 1492958600 1514286580 1892858225 2120001212 2650001515 2985917200 3028573160 3785716450 4240002424 5300003030 6057146320 7571432900 8480004848 10600006060 13250007575 15142865800 21200012120 26500015150 30285731600 42400024240 53000030300 106000060600 212000121200