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12215364000 = 253537314691
BaseRepresentation
bin10110110000001011…
…11010100110100000
31011112022100210012220
423120011322212200
5200004113122000
65340041351040
7611464611060
oct133005724640
934468323186
1012215364000
1151a9288854
12244aa98480
1311c896b048
1483c47d3a0
154b76121a0
hex2d817a9a0

12215364000 has 384 divisors, whose sum is σ = 47219687424. Its totient is φ = 2701440000.

The previous prime is 12215363989. The next prime is 12215364037. The reversal of 12215364000 is 46351221.

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 63 ways as a sum of consecutive naturals, for example, 2601655 + ... + 2606345.

It is an arithmetic number, because the mean of its divisors is an integer number (122967936).

Almost surely, 212215364000 is an apocalyptic number.

12215364000 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 12215364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23609843712).

12215364000 is an abundant number, since it is smaller than the sum of its proper divisors (35004323424).

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

12215364000 is a wasteful number, since it uses less digits than its factorization.

12215364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 12215364000 in words is "twelve billion, two hundred fifteen million, three hundred sixty-four thousand".