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12112432032 = 2531133073637
BaseRepresentation
bin10110100011111010…
…10000101110100000
31011021010200022002210
423101331100232200
5144301240311112
65321523242120
7606104654631
oct132175205640
934233608083
1012112432032
115156174508
122420519340
1311b053bb5c
1482c927888
154ad57db3c
hex2d1f50ba0

12112432032 has 96 divisors (see below), whose sum is σ = 32189838912. Its totient is φ = 3987615744.

The previous prime is 12112432027. The next prime is 12112432039. The reversal of 12112432032 is 23023421121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×121124320322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12112432039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3328518 + ... + 3332154.

It is an arithmetic number, because the mean of its divisors is an integer number (335310822).

Almost surely, 212112432032 is an apocalyptic number.

12112432032 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 12112432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094919456).

12112432032 is an abundant number, since it is smaller than the sum of its proper divisors (20077406880).

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

12112432032 is a wasteful number, since it uses less digits than its factorization.

12112432032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12112432032 its reverse (23023421121), we get a palindrome (35135853153).

The spelling of 12112432032 in words is "twelve billion, one hundred twelve million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 307 339 452 614 678 904 921 1228 1356 1808 1842 2456 2712 3616 3637 3684 4912 5424 7274 7368 9824 10848 10911 14548 14736 21822 29096 29472 34691 43644 58192 69382 87288 104073 116384 138764 174576 208146 277528 349152 410981 416292 555056 821962 832584 1110112 1116559 1232943 1643924 1665168 2233118 2465886 3287848 3330336 3349677 4466236 4931772 6575696 6699354 8932472 9863544 13151392 13398708 17864944 19727088 26797416 35729888 39454176 53594832 107189664 126171167 252342334 378513501 504684668 757027002 1009369336 1514054004 2018738672 3028108008 4037477344 6056216016 12112432032