122555345105052 has 144 divisors (see below), whose sum is σ = 328283894615040. Its totient is φ = 38417318590464.

The previous prime is 122555345105027. The next prime is 122555345105077. The reversal of 122555345105052 is 250501543555221.

122555345105052 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 5 + 5 + 34 + 510 + 50 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (122555345105027) and next prime (122555345105077).

It is a super-2 number, since 2×122555345105052² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122555345104989 and 122555345105007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6136040938 + ... + 6136060910.

It is an arithmetic number, because the mean of its divisors is an integer number (2279749268160).

Almost surely, 2^{122555345105052} is an apocalyptic number.

122555345105052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122555345105052 is an abundant number, since it is smaller than the sum of its proper divisors (205728549509988).

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

122555345105052 is a wasteful number, since it uses less digits than its factorization.

122555345105052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27692 (or 27687 counting only the distinct ones).

The product of its (nonzero) digits is 1500000, while the sum is 45.

The spelling of 122555345105052 in words is "one hundred twenty-two trillion, five hundred fifty-five billion, three hundred forty-five million, one hundred five thousand, fifty-two".