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12220087342944 = 25313176125137619
BaseRepresentation
bin1011000111010011010111…
…1101110001011101100000
31121021020011220020112112110
42301310311331301131200
53100203214324433234
641553455225355320
72400605104401405
oct261646575613540
947236156215473
1012220087342944
113991567801078
121454402638b40
136a84705180b0
143036538002ac
15162d14b151e9
hexb1d35f71760

12220087342944 has 384 divisors, whose sum is σ = 37326055979520. Its totient is φ = 3466874880000.

The previous prime is 12220087342919. The next prime is 12220087343021. The reversal of 12220087342944 is 44924378002221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 12220087342893 and 12220087342902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324819367 + ... + 324856985.

It is an arithmetic number, because the mean of its divisors is an integer number (97203270780).

Almost surely, 212220087342944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220087342944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18663027989760).

12220087342944 is an abundant number, since it is smaller than the sum of its proper divisors (25105968636576).

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

12220087342944 is a wasteful number, since it uses less digits than its factorization.

12220087342944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37974 (or 37966 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 12220087342944 in words is "twelve trillion, two hundred twenty billion, eighty-seven million, three hundred forty-two thousand, nine hundred forty-four".