122566755150 has 576 divisors, whose sum is σ = 417701836800. Its totient is φ = 26275415040.

The previous prime is 122566755149. The next prime is 122566755161. The reversal of 122566755150 is 51557665221.

122566755150 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 66 + 75 + 515 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 122566755096 and 122566755105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 142023619 + ... + 142024481.

It is an arithmetic number, because the mean of its divisors is an integer number (725176800).

Almost surely, 2^122566755150 is an apocalyptic number.

122566755150 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 122566755150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208850918400).

122566755150 is an abundant number, since it is smaller than the sum of its proper divisors (295135081650).

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

122566755150 is a wasteful number, since it uses less digits than its factorization.

122566755150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 122566755150 in words is "one hundred twenty-two billion, five hundred sixty-six million, seven hundred fifty-five thousand, one hundred fifty".