122053155840 has 1056 divisors, whose sum is σ = 540769582080. Its totient is φ = 24713625600.

The previous prime is 122053155811. The next prime is 122053155893. The reversal of 122053155840 is 48551350221.

122053155840 is a `hidden beast` number, since 1 + 2 + 20 + 53 + 1 + 5 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×122053155840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122053155795 and 122053155804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145474141 + ... + 145474979.

Almost surely, 2^122053155840 is an apocalyptic number.

122053155840 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 122053155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270384791040).

122053155840 is an abundant number, since it is smaller than the sum of its proper divisors (418716426240).

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

122053155840 is a wasteful number, since it uses less digits than its factorization.

122053155840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 122053155840 in words is "one hundred twenty-two billion, fifty-three million, one hundred fifty-five thousand, eight hundred forty".