122313253201320 has 128 divisors (see below), whose sum is σ = 369598162752000. Its totient is φ = 32380588581120.

The previous prime is 122313253201303. The next prime is 122313253201333. The reversal of 122313253201320 is 23102352313221.

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

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, 352425075 + ... + 352771965.

It is an arithmetic number, because the mean of its divisors is an integer number (2887485646500).

Almost surely, 2^{122313253201320} is an apocalyptic number.

122313253201320 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 122313253201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184799081376000).

122313253201320 is an abundant number, since it is smaller than the sum of its proper divisors (247284909550680).

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

122313253201320 is a wasteful number, since it uses less digits than its factorization.

122313253201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368183 (or 368179 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 122313253201320 in words is "one hundred twenty-two trillion, three hundred thirteen billion, two hundred fifty-three million, two hundred one thousand, three hundred twenty".