122332151305200 has 480 divisors, whose sum is σ = 415720855908352. Its totient is φ = 30695915520000.

The previous prime is 122332151305193. The next prime is 122332151305211. The reversal of 122332151305200 is 2503151233221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2123756400 + ... + 2123814000.

Almost surely, 2^{122332151305200} is an apocalyptic number.

122332151305200 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 122332151305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207860427954176).

122332151305200 is an abundant number, since it is smaller than the sum of its proper divisors (293388704603152).

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

122332151305200 is a wasteful number, since it uses less digits than its factorization.

122332151305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59233 (or 59222 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 122332151305200 in words is "one hundred twenty-two trillion, three hundred thirty-two billion, one hundred fifty-one million, three hundred five thousand, two hundred".