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12398868720 = 243357372599
BaseRepresentation
bin10111000110000011…
…11011100011110000
31012000002122210101000
423203001323203300
5200343102244340
65410154442000
7616153434210
oct134301734360
935002583330
1012398868720
115292924647
1224a0433300
13122799b214
148589aa240
154c87add30
hex2e307b8f0

12398868720 has 480 divisors, whose sum is σ = 50246784000. Its totient is φ = 2752828416.

The previous prime is 12398868673. The next prime is 12398868739. The reversal of 12398868720 is 2786889321.

It is a happy number.

12398868720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20698981 + ... + 20699579.

It is an arithmetic number, because the mean of its divisors is an integer number (104680800).

Almost surely, 212398868720 is an apocalyptic number.

12398868720 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 12398868720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25123392000).

12398868720 is an abundant number, since it is smaller than the sum of its proper divisors (37847915280).

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

12398868720 is a wasteful number, since it uses less digits than its factorization.

12398868720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 12398868720 in words is "twelve billion, three hundred ninety-eight million, eight hundred sixty-eight thousand, seven hundred twenty".