Search a number
-
+
12312844320 = 25357171571373
BaseRepresentation
bin10110111011110011…
…10001100000100000
31011210002210022002010
423131321301200200
5200204042004240
65353442552520
7614060310210
oct133571614040
934702708063
1012312844320
1152493091a7
122477668740
131212c0b9ca
1484b3b6240
154c0e6a280
hex2dde71820

12312844320 has 384 divisors, whose sum is σ = 47267006976. Its totient is φ = 2630025216.

The previous prime is 12312844319. The next prime is 12312844361. The reversal of 12312844320 is 2344821321.

It is a super-2 number, since 2×123128443202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8967154 + ... + 8968526.

It is an arithmetic number, because the mean of its divisors is an integer number (123091164).

Almost surely, 212312844320 is an apocalyptic number.

12312844320 is a gapful number since it is divisible by the number (10) 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 12312844320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23633503488).

12312844320 is an abundant number, since it is smaller than the sum of its proper divisors (34954162656).

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

12312844320 is a wasteful number, since it uses less digits than its factorization.

12312844320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 12312844320 in words is "twelve billion, three hundred twelve million, eight hundred forty-four thousand, three hundred twenty".