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12240492264 = 233271113169837
BaseRepresentation
bin10110110011001011…
…10001011011101000
31011121001122102201100
423121211301123220
5200032031223024
65342340121400
7612221316240
oct133145613350
934531572640
1012240492264
115211491010
122457396260
131200c28740
14841940b20
154b99277c9
hex2d99716e8

12240492264 has 192 divisors, whose sum is σ = 44511143040. Its totient is φ = 2934766080.

The previous prime is 12240492263. The next prime is 12240492281. The reversal of 12240492264 is 46229404221.

12240492264 is a `hidden beast` number, since 1 + 22 + 404 + 9 + 226 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12240492263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12847 + ... + 156990.

It is an arithmetic number, because the mean of its divisors is an integer number (231828870).

Almost surely, 212240492264 is an apocalyptic number.

12240492264 is a gapful number since it is divisible by the number (14) 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 12240492264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22255571520).

12240492264 is an abundant number, since it is smaller than the sum of its proper divisors (32270650776).

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

12240492264 is a wasteful number, since it uses less digits than its factorization.

12240492264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169880 (or 169873 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 12240492264 its reverse (46229404221), we get a palindrome (58469896485).

The spelling of 12240492264 in words is "twelve billion, two hundred forty million, four hundred ninety-two thousand, two hundred sixty-four".