118972306622400 has 1344 divisors, whose sum is σ = 497001739852800. Its totient is φ = 24700259942400.

The previous prime is 118972306622369. The next prime is 118972306622401. The reversal of 118972306622400 is 4226603279811.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118972306622401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29646722794 + ... + 29646726806.

It is an arithmetic number, because the mean of its divisors is an integer number (369792961200).

Almost surely, 2^{118972306622400} is an apocalyptic number.

118972306622400 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 118972306622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248500869926400).

118972306622400 is an abundant number, since it is smaller than the sum of its proper divisors (378029433230400).

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

118972306622400 is a wasteful number, since it uses less digits than its factorization.

118972306622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5707 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 118972306622400 in words is "one hundred eighteen trillion, nine hundred seventy-two billion, three hundred six million, six hundred twenty-two thousand, four hundred".