122973474723840 has 3072 divisors, whose sum is σ = 526239866880000. Its totient is φ = 26945137410048.

The previous prime is 122973474723713. The next prime is 122973474723851. The reversal of 122973474723840 is 48327474379221.

122973474723840 is a `hidden beast` number, since 1 + 2 + 2 + 97 + 3 + 4 + 7 + 472 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 92670289257 + ... + 92670290583.

It is an arithmetic number, because the mean of its divisors is an integer number (171302040000).

Almost surely, 2^{122973474723840} is an apocalyptic number.

122973474723840 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 122973474723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263119933440000).

122973474723840 is an abundant number, since it is smaller than the sum of its proper divisors (403266392156160).

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

122973474723840 is a wasteful number, since it uses less digits than its factorization.

122973474723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 122973474723840 in words is "one hundred twenty-two trillion, nine hundred seventy-three billion, four hundred seventy-four million, seven hundred twenty-three thousand, eight hundred forty".