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102120120012 = 2239478986283
BaseRepresentation
bin101111100011011010…
…1010101111011001100
3100202120221000121011010
41133012311111323030
53133120222320022
6114525140325220
710243426461261
oct1370665257314
9322527017133
10102120120012
113a3441666a9
121795b9a3810
139825b23521
144d2a867268
1529ca42850c
hex17c6d55ecc

102120120012 has 24 divisors (see below), whose sum is σ = 238531922496. Its totient is φ = 34004091088.

The previous prime is 102120119999. The next prime is 102120120029. The reversal of 102120120012 is 210021021201.

It is a super-2 number, since 2×1021201200122 (a number of 23 digits) contains 22 as substring.

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 102120120012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4481778 + ... + 4504505.

It is an arithmetic number, because the mean of its divisors is an integer number (9938830104).

Almost surely, 2102120120012 is an apocalyptic number.

102120120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102120120012 is an abundant number, since it is smaller than the sum of its proper divisors (136411802484).

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

102120120012 is a wasteful number, since it uses less digits than its factorization.

102120120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8987237 (or 8987235 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102120120012 its reverse (210021021201), we get a palindrome (312141141213).

The spelling of 102120120012 in words is "one hundred two billion, one hundred twenty million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 947 1894 2841 3788 5682 11364 8986283 17972566 26958849 35945132 53917698 107835396 8510010001 17020020002 25530030003 34040040004 51060060006 102120120012