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12210089472 = 293371929229
BaseRepresentation
bin10110101111100011…
…10010111000000000
31011111221102210221000
423113301302320000
5200001240330342
65335332332000
7611402022330
oct132761627000
934457383830
1012210089472
1151a6305a39
122449174000
1311c7842319
1483b8a90c0
154b6e1e44c
hex2d7c72e00

12210089472 has 640 divisors, whose sum is σ = 45175680000. Its totient is φ = 3177086976.

The previous prime is 12210089431. The next prime is 12210089477. The reversal of 12210089472 is 27498001221.

12210089472 is a `hidden beast` number, since 1 + 2 + 2 + 100 + 89 + 472 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210089477) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53319054 + ... + 53319282.

It is an arithmetic number, because the mean of its divisors is an integer number (70587000).

Almost surely, 212210089472 is an apocalyptic number.

12210089472 is a gapful number since it is divisible by the number (12) 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 12210089472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587840000).

12210089472 is an abundant number, since it is smaller than the sum of its proper divisors (32965590528).

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

12210089472 is a wasteful number, since it uses less digits than its factorization.

12210089472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12210089472 in words is "twelve billion, two hundred ten million, eighty-nine thousand, four hundred seventy-two".