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12937622880 = 253572131719131
BaseRepresentation
bin11000000110010010…
…00111010101100000
31020101122102100010210
430003021013111200
5202444012413010
65535442054120
7635414660100
oct140311072540
936348370123
1012937622880
115539a50616
12261094a340
1312b24a1a70
148aa36d200
1550ac2eb20
hex303247560

12937622880 has 1152 divisors, whose sum is σ = 57336491520. Its totient is φ = 2415329280.

The previous prime is 12937622879. The next prime is 12937622909. The reversal of 12937622880 is 8822673921.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98760415 + ... + 98760545.

It is an arithmetic number, because the mean of its divisors is an integer number (49771260).

Almost surely, 212937622880 is an apocalyptic number.

12937622880 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 12937622880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28668245760).

12937622880 is an abundant number, since it is smaller than the sum of its proper divisors (44398868640).

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

12937622880 is a wasteful number, since it uses less digits than its factorization.

12937622880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 12937622880 in words is "twelve billion, nine hundred thirty-seven million, six hundred twenty-two thousand, eight hundred eighty".