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102220102212012 = 22331735470996693
BaseRepresentation
bin10111001111011111111000…
…111000011001100110101100
3111101221010221200022020112000
4113033133320320121212230
5101344233232131241022
61001223133334012300
730350105265445401
oct2717377070314654
9441833850266460
10102220102212012
112a63033590a614
12b56ab354a7090
134506411610695
141b3569d4742a8
15bc3ea592c6ac
hex5cf7f8e199ac

102220102212012 has 48 divisors (see below), whose sum is σ = 266546958931680. Its totient is φ = 33876411516864.

The previous prime is 102220102211989. The next prime is 102220102212013. The reversal of 102220102212012 is 210212201022201.

It is a happy number.

102220102212012 is a `hidden beast` number, since 10 + 2 + 220 + 10 + 221 + 201 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102220102212013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2735479663 + ... + 2735517030.

It is an arithmetic number, because the mean of its divisors is an integer number (5553061644410).

Almost surely, 2102220102212012 is an apocalyptic number.

102220102212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102220102212012 is an abundant number, since it is smaller than the sum of its proper divisors (164326856719668).

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

102220102212012 is a wasteful number, since it uses less digits than its factorization.

102220102212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470996879 (or 5470996871 counting only the distinct ones).

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

Adding to 102220102212012 its reverse (210212201022201), we get a palindrome (312432303234213).

The spelling of 102220102212012 in words is "one hundred two trillion, two hundred twenty billion, one hundred two million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 346 519 692 1038 1557 2076 3114 4671 6228 9342 18684 5470996693 10941993386 16412990079 21883986772 32825980158 49238970237 65651960316 98477940474 147716910711 196955880948 295433821422 590867642844 946482427889 1892964855778 2839447283667 3785929711556 5678894567334 8518341851001 11357789134668 17036683702002 25555025553003 34073367404004 51110051106006 102220102212012