122490488409600 has 960 divisors, whose sum is σ = 423649503839232. Its totient is φ = 31167037440000.

The previous prime is 122490488409587. The next prime is 122490488409607. The reversal of 122490488409600 is 6904884094221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122490488409607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31807447675 + ... + 31807451525.

Almost surely, 2^{122490488409600} is an apocalyptic number.

122490488409600 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 122490488409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211824751919616).

122490488409600 is an abundant number, since it is smaller than the sum of its proper divisors (301159015429632).

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

122490488409600 is a wasteful number, since it uses less digits than its factorization.

122490488409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 122490488409600 in words is "one hundred twenty-two trillion, four hundred ninety billion, four hundred eighty-eight million, four hundred nine thousand, six hundred".