122236425945600 has 480 divisors, whose sum is σ = 450056211612480. Its totient is φ = 29064261795840.

The previous prime is 122236425945587. The next prime is 122236425945611. The reversal of 122236425945600 is 6549524632221.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7475584 + ... + 17330816.

It is an arithmetic number, because the mean of its divisors is an integer number (937617107526).

Almost surely, 2^{122236425945600} is an apocalyptic number.

122236425945600 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 122236425945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225028105806240).

122236425945600 is an abundant number, since it is smaller than the sum of its proper divisors (327819785666880).

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

122236425945600 is a wasteful number, since it uses less digits than its factorization.

122236425945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9855300 (or 9855279 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 122236425945600 in words is "one hundred twenty-two trillion, two hundred thirty-six billion, four hundred twenty-five million, nine hundred forty-five thousand, six hundred".