122541150520320 has 352 divisors, whose sum is σ = 447997052928000. Its totient is φ = 28005317443584.

The previous prime is 122541150520319. The next prime is 122541150520361. The reversal of 122541150520320 is 23025051145221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769656081 + ... + 769815279.

Almost surely, 2^{122541150520320} is an apocalyptic number.

122541150520320 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 122541150520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223998526464000).

122541150520320 is an abundant number, since it is smaller than the sum of its proper divisors (325455902407680).

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

122541150520320 is a wasteful number, since it uses less digits than its factorization.

122541150520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166393 (or 166375 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 122541150520320 in words is "one hundred twenty-two trillion, five hundred forty-one billion, one hundred fifty million, five hundred twenty thousand, three hundred twenty".