122314255553520 has 120 divisors (see below), whose sum is σ = 410789889746496. Its totient is φ = 32615717589504.

The previous prime is 122314255553429. The next prime is 122314255553593. The reversal of 122314255553520 is 25355552413221.

122314255553520 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 4 + 25 + 55 + 53 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×122314255553520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12943494 + ... + 20301786.

Almost surely, 2^{122314255553520} is an apocalyptic number.

122314255553520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122314255553520 is an abundant number, since it is smaller than the sum of its proper divisors (288475634192976).

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

122314255553520 is a wasteful number, since it uses less digits than its factorization.

122314255553520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7381399 (or 7381390 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 122314255553520 in words is "one hundred twenty-two trillion, three hundred fourteen billion, two hundred fifty-five million, five hundred fifty-three thousand, five hundred twenty".