122400552030350 has 96 divisors (see below), whose sum is σ = 250552458973440. Its totient is φ = 44118308192000.

The previous prime is 122400552030313. The next prime is 122400552030359. The reversal of 122400552030350 is 53030255004221.

It is a super-2 number, since 2×122400552030350² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122400552030359) 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 47 ways as a sum of consecutive naturals, for example, 28619114 + ... + 32616786.

It is an arithmetic number, because the mean of its divisors is an integer number (2609921447640).

Almost surely, 2^{122400552030350} is an apocalyptic number.

122400552030350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122400552030350 is an abundant number, since it is smaller than the sum of its proper divisors (128151906943090).

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

122400552030350 is a wasteful number, since it uses less digits than its factorization.

122400552030350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998186 (or 3998181 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 122400552030350 in words is "one hundred twenty-two trillion, four hundred billion, five hundred fifty-two million, thirty thousand, three hundred fifty".