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12420792320 = 2145316773
BaseRepresentation
bin10111001000101011…
…00100000000000000
31012001121220121220012
423210111210000000
5200414210323240
65412300404052
7616540664336
oct134425440000
935047817805
1012420792320
1152a4239122
1224a7846628
13122c3a6071
1485b875b56
154ca68eb65
hex2e4564000

12420792320 has 240 divisors, whose sum is σ = 31657640448. Its totient is φ = 4671406080.

The previous prime is 12420792299. The next prime is 12420792323. The reversal of 12420792320 is 2329702421.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (12420792323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170147804 + ... + 170147876.

Almost surely, 212420792320 is an apocalyptic number.

12420792320 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 12420792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15828820224).

12420792320 is an abundant number, since it is smaller than the sum of its proper divisors (19236848128).

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

12420792320 is an frugal number, since it uses more digits than its factorization.

12420792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 12420792320 in words is "twelve billion, four hundred twenty million, seven hundred ninety-two thousand, three hundred twenty".