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12010112002096 = 2413531375979181
BaseRepresentation
bin1010111011000101001001…
…1101011010100000110000
31120112011012100121000220121
42232301102131122200300
53033233202133031341
641313211433220024
72346462525425125
oct256612235324060
946464170530817
1012010112002096
11391050713872a
12141b782261614
13691719663790
142d741497874c
1515c625a544d1
hexaec5275a830

12010112002096 has 80 divisors (see below), whose sum is σ = 25534560683520. Its totient is φ = 5438077332480.

The previous prime is 12010112002039. The next prime is 12010112002151. The reversal of 12010112002096 is 69020021101021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12010112002096.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151639626 + ... + 151718806.

It is an arithmetic number, because the mean of its divisors is an integer number (319182008544).

Almost surely, 212010112002096 is an apocalyptic number.

12010112002096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010112002096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767280341760).

12010112002096 is an abundant number, since it is smaller than the sum of its proper divisors (13524448681424).

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

12010112002096 is a wasteful number, since it uses less digits than its factorization.

12010112002096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93014 (or 93008 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 12010112002096 in words is "twelve trillion, ten billion, one hundred twelve million, two thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1378 2756 5512 11024 13759 27518 55036 79181 110072 158362 178867 220144 316724 357734 633448 715468 729227 1029353 1266896 1430936 1458454 2058706 2861872 2916908 4117412 4196593 5833816 8234824 8393186 9479951 11667632 16469648 16786372 18959902 33572744 37919804 54555709 67145488 75839608 109111418 151679216 218222836 436445672 872891344 1089451379 2178902758 4357805516 8715611032 14162867927 17431222064 28325735854 56651471708 57740923087 113302943416 115481846174 226605886832 230963692348 461927384696 750632000131 923854769392 1501264000262 3002528000524 6005056001048 12010112002096