122353314304144 has 80 divisors (see below), whose sum is σ = 298875599487360. Its totient is φ = 47134503060480.

The previous prime is 122353314304129. The next prime is 122353314304157. The reversal of 122353314304144 is 441403413353221.

It is a junction number, because it is equal to n+sod(n) for n = 122353314304097 and 122353314304106.

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, 557827179 + ... + 558046474.

It is an arithmetic number, because the mean of its divisors is an integer number (3735944993592).

Almost surely, 2^{122353314304144} is an apocalyptic number.

122353314304144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122353314304144 is an abundant number, since it is smaller than the sum of its proper divisors (176522285183216).

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

122353314304144 is a wasteful number, since it uses less digits than its factorization.

122353314304144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115873768 (or 1115873762 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

Adding to 122353314304144 its reverse (441403413353221), we get a palindrome (563756727657365).

The spelling of 122353314304144 in words is "one hundred twenty-two trillion, three hundred fifty-three billion, three hundred fourteen million, three hundred four thousand, one hundred forty-four".