122331153205040 has 320 divisors, whose sum is σ = 325624362456960. Its totient is φ = 42406121963520.

The previous prime is 122331153205031. The next prime is 122331153205043. The reversal of 122331153205040 is 40502351133221.

It is a super-2 number, since 2×122331153205040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122331153204988 and 122331153205006.

It is not an unprimeable number, because it can be changed into a prime (122331153205043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1860205760 + ... + 1860271520.

It is an arithmetic number, because the mean of its divisors is an integer number (1017576132678).

Almost surely, 2^{122331153205040} is an apocalyptic number.

122331153205040 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 122331153205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162812181228480).

122331153205040 is an abundant number, since it is smaller than the sum of its proper divisors (203293209251920).

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

122331153205040 is a wasteful number, since it uses less digits than its factorization.

122331153205040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67520 (or 67514 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 122331153205040 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, one hundred fifty-three million, two hundred five thousand, forty".