122382088396152 has 192 divisors, whose sum is σ = 339977841688800. Its totient is φ = 36672993976320.

The previous prime is 122382088396133. The next prime is 122382088396153. The reversal of 122382088396152 is 251693880283221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122382088396153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93975738 + ... + 95269110.

Almost surely, 2^{122382088396152} is an apocalyptic number.

122382088396152 is a gapful number since it is divisible by the number (12) 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 122382088396152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169988920844400).

122382088396152 is an abundant number, since it is smaller than the sum of its proper divisors (217595753292648).

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

122382088396152 is a wasteful number, since it uses less digits than its factorization.

122382088396152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294018 (or 1294001 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 122382088396152 in words is "one hundred twenty-two trillion, three hundred eighty-two billion, eighty-eight million, three hundred ninety-six thousand, one hundred fifty-two".