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102220021212012 = 223311175061399347
BaseRepresentation
bin10111001111011111110100…
…000011011010001101101100
3111101221010202000220000102000
4113033133310003122031230
5101344233100412241022
61001223121321532300
730350103263115654
oct2717376403321554
9441833660800360
10102220021212012
112a6302a4116070
12b56ab12344090
1345063ca8c00a2
141b356927cb364
15bc3e9d77c6ac
hex5cf7f40da36c

102220021212012 has 96 divisors (see below), whose sum is σ = 306113432567040. Its totient is φ = 29153660232960.

The previous prime is 102220021211953. The next prime is 102220021212061. The reversal of 102220021212012 is 210212120022201.

It is a happy number.

102220021212012 is a `hidden beast` number, since 102 + 220 + 0 + 212 + 120 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2530679478 + ... + 2530719869.

It is an arithmetic number, because the mean of its divisors is an integer number (3188681589240).

Almost surely, 2102220021212012 is an apocalyptic number.

102220021212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102220021212012 is an abundant number, since it is smaller than the sum of its proper divisors (203893411355028).

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

102220021212012 is a wasteful number, since it uses less digits than its factorization.

102220021212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061399388 (or 5061399380 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102220021212012 its reverse (210212120022201), we get a palindrome (312432141234213).

The spelling of 102220021212012 in words is "one hundred two trillion, two hundred twenty billion, twenty-one million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 6732 10098 20196 5061399347 10122798694 15184198041 20245597388 30368396082 45552594123 55675392817 60736792164 86043788899 91105188246 111350785634 136657782369 167026178451 172087577798 182210376492 222701571268 258131366697 273315564738 334052356902 344175155596 501078535353 516262733394 546631129476 668104713804 774394100091 946481677889 1002157070706 1032525466788 1503235606059 1548788200182 1892963355778 2004314141412 2323182300273 2839445033667 3006471212118 3097576400364 3785926711556 4646364600546 5678890067334 6012942424236 8518335101001 9292729201092 11357780134668 17036670202002 25555005303003 34073340404004 51110010606006 102220021212012