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12123100032 = 273199715809
BaseRepresentation
bin10110100101001011…
…11101001110000000
31011021212202021211220
423102211331032000
5144312003200112
65322544035040
7606264435651
oct132245751600
934255667756
1012123100032
1151611a053a
122424002a80
1311b2805794
14830103528
154ae48998c
hex2d297d380

12123100032 has 64 divisors (see below), whose sum is σ = 32220147600. Its totient is φ = 4038754304.

The previous prime is 12123100021. The next prime is 12123100039. The reversal of 12123100032 is 23000132121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12123099984 and 12123100020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123100039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 758944 + ... + 774752.

Almost surely, 212123100032 is an apocalyptic number.

12123100032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12123100032 is an abundant number, since it is smaller than the sum of its proper divisors (20097047568).

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

12123100032 is a wasteful number, since it uses less digits than its factorization.

12123100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17823 (or 17811 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12123100032 its reverse (23000132121), we get a palindrome (35123232153).

The spelling of 12123100032 in words is "twelve billion, one hundred twenty-three million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1997 3994 5991 7988 11982 15809 15976 23964 31618 31952 47427 47928 63236 63904 94854 95856 126472 127808 189708 191712 252944 255616 379416 383424 505888 758832 766848 1011776 1517664 2023552 3035328 6070656 31570573 63141146 94711719 126282292 189423438 252564584 378846876 505129168 757693752 1010258336 1515387504 2020516672 3030775008 4041033344 6061550016 12123100032