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12331324320 = 25357229101179
BaseRepresentation
bin10110111110000000…
…10001001110100000
31011211101120011212120
423133000101032200
5200223304334240
65355343024240
7614403345600
oct133700211640
934741504776
1012331324320
115258790527
12248189b080
1312169ac313
1484da26c00
154c28baad0
hex2df0113a0

12331324320 has 576 divisors, whose sum is σ = 47470147200. Its totient is φ = 2679398400.

The previous prime is 12331324307. The next prime is 12331324333. The reversal of 12331324320 is 2342313321.

It is an interprime number because it is at equal distance from previous prime (12331324307) and next prime (12331324333).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 68889991 + ... + 68890169.

It is an arithmetic number, because the mean of its divisors is an integer number (82413450).

Almost surely, 212331324320 is an apocalyptic number.

12331324320 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 12331324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23735073600).

12331324320 is an abundant number, since it is smaller than the sum of its proper divisors (35138822880).

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

12331324320 is a wasteful number, since it uses less digits than its factorization.

12331324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12331324320 its reverse (2342313321), we get a palindrome (14673637641).

The spelling of 12331324320 in words is "twelve billion, three hundred thirty-one million, three hundred twenty-four thousand, three hundred twenty".