122471379475200 has 1512 divisors, whose sum is σ = 528235861574400. Its totient is φ = 27518559805440.

The previous prime is 122471379475163. The next prime is 122471379475261. The reversal of 122471379475200 is 2574973174221.

122471379475200 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 7 + 1 + 3 + 79 + 47 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1926861021 + ... + 1926924579.

Almost surely, 2^{122471379475200} is an apocalyptic number.

122471379475200 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 122471379475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264117930787200).

122471379475200 is an abundant number, since it is smaller than the sum of its proper divisors (405764482099200).

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

122471379475200 is an frugal number, since it uses more digits than its factorization.

122471379475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63669 (or 63635 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 122471379475200 in words is "one hundred twenty-two trillion, four hundred seventy-one billion, three hundred seventy-nine million, four hundred seventy-five thousand, two hundred".