122909072544 has 48 divisors (see below), whose sum is σ = 358484797440. Its totient is φ = 40969690560.

The previous prime is 122909072527. The next prime is 122909072563. The reversal of 122909072544 is 445270909221.

122909072544 is a `hidden beast` number, since 12 + 2 + 9 + 0 + 90 + 7 + 2 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×122909072544² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122909072544.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71127072 + ... + 71128799.

It is an arithmetic number, because the mean of its divisors is an integer number (7468433280).

Almost surely, 2^122909072544 is an apocalyptic number.

It is an amenable number.

122909072544 is an abundant number, since it is smaller than the sum of its proper divisors (235575724896).

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

122909072544 is a wasteful number, since it uses less digits than its factorization.

122909072544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142255890 (or 142255876 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 122909072544 in words is "one hundred twenty-two billion, nine hundred nine million, seventy-two thousand, five hundred forty-four".