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12119954832 = 243431729501
BaseRepresentation
bin10110100100110011…
…11101010110010000
31011021122211111110000
423102121331112100
5144310202023312
65322352410000
7606225626166
oct132231752620
934248744400
1012119954832
11515a4424a7
122422b46900
1311b1c7400b
1482d925236
154ae067adc
hex2d267d590

12119954832 has 100 divisors (see below), whose sum is σ = 35190516636. Its totient is φ = 4027104000.

The previous prime is 12119954807. The next prime is 12119954849. The reversal of 12119954832 is 23845991121.

12119954832 is a `hidden beast` number, since 1 + 2 + 11 + 99 + 548 + 3 + 2 = 666.

12119954832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2383001856 + 9736952976 = 48816^2 + 98676^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 396082 + ... + 425582.

Almost surely, 212119954832 is an apocalyptic number.

12119954832 is a gapful number since it is divisible by the number (12) 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 12119954832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17595258318).

12119954832 is an abundant number, since it is smaller than the sum of its proper divisors (23070561804).

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

12119954832 is a wasteful number, since it uses less digits than its factorization.

12119954832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29838 (or 29823 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 12119954832 in words is "twelve billion, one hundred nineteen million, nine hundred fifty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 317 324 432 634 648 951 1268 1296 1902 2536 2853 3804 5072 5706 7608 8559 11412 15216 17118 22824 25677 29501 34236 45648 51354 59002 68472 88503 102708 118004 136944 177006 205416 236008 265509 354012 410832 472016 531018 708024 796527 1062036 1416048 1593054 2124072 2389581 3186108 4248144 4779162 6372216 9351817 9558324 12744432 18703634 19116648 28055451 37407268 38233296 56110902 74814536 84166353 112221804 149629072 168332706 224443608 252499059 336665412 448887216 504998118 673330824 757497177 1009996236 1346661648 1514994354 2019992472 3029988708 4039984944 6059977416 12119954832