12962477848320 has 6912 divisors, whose sum is σ = 69117062676480. Its totient is φ = 2235904819200.

The previous prime is 12962477848267. The next prime is 12962477848339. The reversal of 12962477848320 is 2384877426921.

It is a happy number.

12962477848320 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 2 + 477 + 84 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 164081998041 + ... + 164081998119.

It is an arithmetic number, because the mean of its divisors is an integer number (9999575040).

Almost surely, 2^{12962477848320} is an apocalyptic number.

12962477848320 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 12962477848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34558531338240).

12962477848320 is an abundant number, since it is smaller than the sum of its proper divisors (56154584828160).

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

12962477848320 is a wasteful number, since it uses less digits than its factorization.

12962477848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 12962477848320 in words is "twelve trillion, nine hundred sixty-two billion, four hundred seventy-seven million, eight hundred forty-eight thousand, three hundred twenty".