122535136620 has 432 divisors, whose sum is σ = 415986611040. Its totient is φ = 29165101056.

The previous prime is 122535136609. The next prime is 122535136627. The reversal of 122535136620 is 26631535221.

122535136620 is a `hidden beast` number, since 1 + 2 + 25 + 3 + 5 + 1 + 3 + 6 + 620 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122535136627) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 147810366 + ... + 147811194.

It is an arithmetic number, because the mean of its divisors is an integer number (962931970).

Almost surely, 2^122535136620 is an apocalyptic number.

122535136620 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 122535136620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207993305520).

122535136620 is an abundant number, since it is smaller than the sum of its proper divisors (293451474420).

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

122535136620 is a wasteful number, since it uses less digits than its factorization.

122535136620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 122535136620 in words is "one hundred twenty-two billion, five hundred thirty-five million, one hundred thirty-six thousand, six hundred twenty".