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102111120012 = 223112006338557
BaseRepresentation
bin101111100011001001…
…1000000101010001100
3100202120022002100110210
41133012103000222030
53133110421320022
6114524215402420
710243260125226
oct1370623005214
9322508070423
10102111120012
113a33a079890
1217958983410
139823cc1b95
144d295a3416
1529c974ba0c
hex17c64c0a8c

102111120012 has 48 divisors (see below), whose sum is σ = 259938911232. Its totient is φ = 30940418880.

The previous prime is 102111120011. The next prime is 102111120029. The reversal of 102111120012 is 210021111201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 102111120012.

It is not an unprimeable number, because it can be changed into a prime (102111120011) 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, 2629038 + ... + 2667594.

It is an arithmetic number, because the mean of its divisors is an integer number (5415393984).

Almost surely, 2102111120012 is an apocalyptic number.

102111120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102111120012 is an abundant number, since it is smaller than the sum of its proper divisors (157827791220).

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

102111120012 is a wasteful number, since it uses less digits than its factorization.

102111120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58638 (or 58636 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102111120012 its reverse (210021111201), we get a palindrome (312132231213).

The spelling of 102111120012 in words is "one hundred two billion, one hundred eleven million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 20063 38557 40126 60189 77114 80252 115671 120378 154228 220693 231342 240756 424127 441386 462684 662079 848254 882772 1272381 1324158 1696508 2544762 2648316 5089524 773569091 1547138182 2320707273 3094276364 4641414546 8509260001 9282829092 17018520002 25527780003 34037040004 51055560006 102111120012