122157162512640 has 4032 divisors, whose sum is σ = 504491574343680. Its totient is φ = 28172400721920.

The previous prime is 122157162512639. The next prime is 122157162512719. The reversal of 122157162512640 is 46215261751221.

122157162512640 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 5 + 7 + 1 + 625 + 12 + 6 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1120707912906 + ... + 1120707913014.

It is an arithmetic number, because the mean of its divisors is an integer number (125121918240).

Almost surely, 2^{122157162512640} is an apocalyptic number.

122157162512640 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 122157162512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252245787171840).

122157162512640 is an abundant number, since it is smaller than the sum of its proper divisors (382334411831040).

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

122157162512640 is a wasteful number, since it uses less digits than its factorization.

122157162512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 122157162512640 in words is "one hundred twenty-two trillion, one hundred fifty-seven billion, one hundred sixty-two million, five hundred twelve thousand, six hundred forty".