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12172066920 = 233251331531583
BaseRepresentation
bin10110101011000001…
…10000000001101000
31011102021220001210100
423111200300001220
5144412022120140
65331453345400
7610430601366
oct132540600150
934367801710
1012172066920
1151868a6042
122438498260
1311bc9bb880
1483680c636
154b390d530
hex2d5830068

12172066920 has 384 divisors, whose sum is σ = 44834549760. Its totient is φ = 2843043840.

The previous prime is 12172066883. The next prime is 12172066943. The reversal of 12172066920 is 2966027121.

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

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, 7688449 + ... + 7690031.

It is an arithmetic number, because the mean of its divisors is an integer number (116756640).

Almost surely, 212172066920 is an apocalyptic number.

12172066920 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 12172066920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22417274880).

12172066920 is an abundant number, since it is smaller than the sum of its proper divisors (32662482840).

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

12172066920 is a wasteful number, since it uses less digits than its factorization.

12172066920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1690 counting only the distinct ones).

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

The spelling of 12172066920 in words is "twelve billion, one hundred seventy-two million, sixty-six thousand, nine hundred twenty".