122381759037500 has 144 divisors (see below), whose sum is σ = 283673304684000. Its totient is φ = 46064982240000.

The previous prime is 122381759037469. The next prime is 122381759037509. The reversal of 122381759037500 is 5730957183221.

It is a super-2 number, since 2×122381759037500² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122381759037509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33658334 + ... + 37116666.

It is an arithmetic number, because the mean of its divisors is an integer number (1969953504750).

Almost surely, 2^{122381759037500} is an apocalyptic number.

122381759037500 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 122381759037500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141836652342000).

122381759037500 is an abundant number, since it is smaller than the sum of its proper divisors (161291545646500).

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

122381759037500 is a wasteful number, since it uses less digits than its factorization.

122381759037500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458530 (or 3458508 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 53.

The spelling of 122381759037500 in words is "one hundred twenty-two trillion, three hundred eighty-one billion, seven hundred fifty-nine million, thirty-seven thousand, five hundred".