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12117154680 = 23325295361359
BaseRepresentation
bin10110100100011110…
…10001101101111000
31011021110120020100200
423102033101231320
5144303442422210
65322212402200
7606163054401
oct132217215570
934243506320
1012117154680
1151588aa724
122422016360
1311b1503617
1482d3d69a8
154adbb30c0
hex2d23d1b78

12117154680 has 384 divisors, whose sum is σ = 42305328000. Its totient is φ = 3002388480.

The previous prime is 12117154663. The next prime is 12117154723. The reversal of 12117154680 is 8645171121.

12117154680 is a `hidden beast` number, since 1 + 21 + 17 + 1 + 546 + 80 = 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 95 ways as a sum of consecutive naturals, for example, 33752341 + ... + 33752699.

It is an arithmetic number, because the mean of its divisors is an integer number (110170125).

Almost surely, 212117154680 is an apocalyptic number.

12117154680 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 12117154680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21152664000).

12117154680 is an abundant number, since it is smaller than the sum of its proper divisors (30188173320).

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

12117154680 is a wasteful number, since it uses less digits than its factorization.

12117154680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 12117154680 in words is "twelve billion, one hundred seventeen million, one hundred fifty-four thousand, six hundred eighty".