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12117496320 = 2936543151
BaseRepresentation
bin10110100100100001…
…00101001000000000
31011021111012121000000
423102100211020000
5144304034340240
65322224000000
7606166006416
oct132220451000
934244177000
1012117496320
115159013376
122422160000
1311b15c2c87
1482d4852b6
154adc2e430
hex2d2425200

12117496320 has 560 divisors, whose sum is σ = 44868681792. Its totient is φ = 3135283200.

The previous prime is 12117496309. The next prime is 12117496357. The reversal of 12117496320 is 2369471121.

12117496320 is a `hidden beast` number, since 1 + 2 + 1 + 17 + 4 + 9 + 632 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 80248245 + ... + 80248395.

Almost surely, 212117496320 is an apocalyptic number.

12117496320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 110079×110080.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12117496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22434340896).

12117496320 is an abundant number, since it is smaller than the sum of its proper divisors (32751185472).

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

12117496320 is an frugal number, since it uses more digits than its factorization.

12117496320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12117496320 in words is "twelve billion, one hundred seventeen million, four hundred ninety-six thousand, three hundred twenty".