122330154450320 has 80 divisors (see below), whose sum is σ = 286113702193920. Its totient is φ = 48640465689600.

The previous prime is 122330154450311. The next prime is 122330154450397. The reversal of 122330154450320 is 23054451033221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×122330154450320² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36649580 + ... + 39847860.

It is an arithmetic number, because the mean of its divisors is an integer number (3576421277424).

Almost surely, 2^{122330154450320} is an apocalyptic number.

122330154450320 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 122330154450320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143056851096960).

122330154450320 is an abundant number, since it is smaller than the sum of its proper divisors (163783547743600).

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

122330154450320 is a wasteful number, since it uses less digits than its factorization.

122330154450320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201144 (or 3201138 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 122330154450320 in words is "one hundred twenty-two trillion, three hundred thirty billion, one hundred fifty-four million, four hundred fifty thousand, three hundred twenty".