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12337920000 = 2113454717
BaseRepresentation
bin10110111110110010…
…11011100000000000
31011211211222021110000
423133121123200000
5200232001420000
65400140240000
7614513406150
oct133731334000
934754867400
1012337920000
1152614859aa
122483b40000
13121817b4a3
14850862760
154c3270000
hex2df65b800

12337920000 has 1200 divisors, whose sum is σ = 55725349680. Its totient is φ = 2654208000.

The previous prime is 12337919999. The next prime is 12337920031. The reversal of 12337920000 is 2973321.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 725759992 + ... + 725760008.

Almost surely, 212337920000 is an apocalyptic number.

12337920000 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 12337920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27862674840).

12337920000 is an abundant number, since it is smaller than the sum of its proper divisors (43387429680).

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

12337920000 is an frugal number, since it uses more digits than its factorization.

12337920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 12337920000 in words is "twelve billion, three hundred thirty-seven million, nine hundred twenty thousand".