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12230591672880 = 24325712761930869
BaseRepresentation
bin1011000111111010100000…
…0100100111001000110000
31121022020021221222210021100
42301332220010213020300
53100341222432013010
642002353425524400
72401426314623130
oct261765004471060
947266257883240
1012230591672880
113995a6816a689
1214564544a3700
136a9455845439
14303d6c924ac0
1516322bde42c0
hexb1fa8127230

12230591672880 has 480 divisors, whose sum is σ = 47389766860800. Its totient is φ = 2768981096448.

The previous prime is 12230591672879. The next prime is 12230591672891. The reversal of 12230591672880 is 8827619503221.

12230591672880 is a `hidden beast` number, since 1 + 2 + 23 + 0 + 591 + 6 + 7 + 28 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 396194086 + ... + 396224954.

It is an arithmetic number, because the mean of its divisors is an integer number (98728680960).

Almost surely, 212230591672880 is an apocalyptic number.

12230591672880 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 12230591672880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23694883430400).

12230591672880 is an abundant number, since it is smaller than the sum of its proper divisors (35159175187920).

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

12230591672880 is a wasteful number, since it uses less digits than its factorization.

12230591672880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31641 (or 31632 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 12230591672880 in words is "twelve trillion, two hundred thirty billion, five hundred ninety-one million, six hundred seventy-two thousand, eight hundred eighty".