Search a number
-
+
12312432132 = 223711132372131
BaseRepresentation
bin10110111011110000…
…01100111000000100
31011210002000100122220
423131320030320010
5200203440312012
65353430052340
7614053642410
oct133570147004
934702010586
1012312432132
115249057550
1224774aa0b0
131212ac6200
1484b309d40
154c0dd808c
hex2dde0ce04

12312432132 has 288 divisors, whose sum is σ = 39852094464. Its totient is φ = 2870899200.

The previous prime is 12312432101. The next prime is 12312432157. The reversal of 12312432132 is 23123421321.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5776707 + ... + 5778837.

It is an arithmetic number, because the mean of its divisors is an integer number (138375328).

Almost surely, 212312432132 is an apocalyptic number.

12312432132 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 12312432132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19926047232).

12312432132 is an abundant number, since it is smaller than the sum of its proper divisors (27539662332).

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

12312432132 is a wasteful number, since it uses less digits than its factorization.

12312432132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2204 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 12312432132 its reverse (23123421321), we get a palindrome (35435853453).

It can be divided in two parts, 12312 and 432132, that added together give a palindrome (444444).

The spelling of 12312432132 in words is "twelve billion, three hundred twelve million, four hundred thirty-two thousand, one hundred thirty-two".