122401311206000 has 320 divisors, whose sum is σ = 317858606282880. Its totient is φ = 45445858099200.

The previous prime is 122401311205933. The next prime is 122401311206023. The reversal of 122401311206000 is 602113104221.

It is a super-2 number, since 2×122401311206000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1476220544 + ... + 1476303456.

It is an arithmetic number, because the mean of its divisors is an integer number (993308144634).

Almost surely, 2^{122401311206000} is an apocalyptic number.

122401311206000 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 122401311206000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158929303141440).

122401311206000 is an abundant number, since it is smaller than the sum of its proper divisors (195457295076880).

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

122401311206000 is a wasteful number, since it uses less digits than its factorization.

122401311206000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83741 (or 83725 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 122401311206000 in words is "one hundred twenty-two trillion, four hundred one billion, three hundred eleven million, two hundred six thousand".