122351125131150 has 192 divisors, whose sum is σ = 311532070671360. Its totient is φ = 31761134092800.

The previous prime is 122351125131149. The next prime is 122351125131187. The reversal of 122351125131150 is 51131521153221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2536328731 + ... + 2536376969.

It is an arithmetic number, because the mean of its divisors is an integer number (1622562868080).

Almost surely, 2^{122351125131150} is an apocalyptic number.

122351125131150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122351125131150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155766035335680).

122351125131150 is an abundant number, since it is smaller than the sum of its proper divisors (189180945540210).

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

122351125131150 is a wasteful number, since it uses less digits than its factorization.

122351125131150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49611 (or 49606 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 33.

Adding to 122351125131150 its reverse (51131521153221), we get a palindrome (173482646284371).

The spelling of 122351125131150 in words is "one hundred twenty-two trillion, three hundred fifty-one billion, one hundred twenty-five million, one hundred thirty-one thousand, one hundred fifty".