12722907633120 has 288 divisors, whose sum is σ = 47092103079840. Its totient is φ = 3115317166080.

The previous prime is 12722907633101. The next prime is 12722907633133. The reversal of 12722907633120 is 2133670922721.

12722907633120 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 2 + 9 + 0 + 7 + 633 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5334450 + ... + 7341809.

It is an arithmetic number, because the mean of its divisors is an integer number (163514246805).

Almost surely, 2^{12722907633120} is an apocalyptic number.

12722907633120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12722907633120 is an abundant number, since it is smaller than the sum of its proper divisors (34369195446720).

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

12722907633120 is a wasteful number, since it uses less digits than its factorization.

12722907633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12676338 (or 12676327 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 12722907633120 in words is "twelve trillion, seven hundred twenty-two billion, nine hundred seven million, six hundred thirty-three thousand, one hundred twenty".