122554350223120 has 40 divisors (see below), whose sum is σ = 292639914661464. Its totient is φ = 47696828193792.

The previous prime is 122554350223069. The next prime is 122554350223139. The reversal of 122554350223120 is 21322053455221.

It can be written as a sum of positive squares in 4 ways, for example, as 8658753515776 + 113895596707344 = 2942576^2 + 10672188^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×122554350223120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 122554350223120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20701745389 + ... + 20701751308.

Almost surely, 2^{122554350223120} is an apocalyptic number.

122554350223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122554350223120 is an abundant number, since it is smaller than the sum of its proper divisors (170085564438344).

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

122554350223120 is a wasteful number, since it uses less digits than its factorization.

122554350223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41403496747 (or 41403496741 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 122554350223120 in words is "one hundred twenty-two trillion, five hundred fifty-four billion, three hundred fifty million, two hundred twenty-three thousand, one hundred twenty".