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12190708032 = 263232760577
BaseRepresentation
bin10110101101001111…
…10111000101000000
31011110120222010120220
423112213313011000
5144431310124112
65333401103040
7611045210556
oct132647670500
934416863526
1012190708032
115196378418
122442787a80
1311c3817609
148390a1bd6
154b539198c
hex2d69f7140

12190708032 has 56 divisors (see below), whose sum is σ = 33656966976. Its totient is φ = 3886891008.

The previous prime is 12190708003. The next prime is 12190708039. The reversal of 12190708032 is 23080709121.

12190708032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121907080322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12190707984 and 12190708002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12190708039) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1375873 + ... + 1384704.

Almost surely, 212190708032 is an apocalyptic number.

12190708032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12190708032 is an abundant number, since it is smaller than the sum of its proper divisors (21466258944).

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

12190708032 is a wasteful number, since it uses less digits than its factorization.

12190708032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760615 (or 2760605 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 12190708032 in words is "twelve billion, one hundred ninety million, seven hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 2760577 5521154 8281731 11042308 16563462 22084616 33126924 44169232 63493271 66253848 88338464 126986542 132507696 176676928 190479813 253973084 265015392 380959626 507946168 530030784 761919252 1015892336 1523838504 2031784672 3047677008 4063569344 6095354016 12190708032