122405201533552 has 80 divisors (see below), whose sum is σ = 278539817241280. Its totient is φ = 51009587564544.

The previous prime is 122405201533481. The next prime is 122405201533583. The reversal of 122405201533552 is 255335102504221.

It is a super-3 number, since 3×122405201533552³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

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, 2629977 + ... + 15865912.

It is an arithmetic number, because the mean of its divisors is an integer number (3481747715516).

Almost surely, 2^{122405201533552} is an apocalyptic number.

It is an amenable number.

122405201533552 is an abundant number, since it is smaller than the sum of its proper divisors (156134615707728).

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

122405201533552 is a wasteful number, since it uses less digits than its factorization.

122405201533552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18497538 (or 18497532 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 122405201533552 in words is "one hundred twenty-two trillion, four hundred five billion, two hundred one million, five hundred thirty-three thousand, five hundred fifty-two".