122755839552 has 336 divisors, whose sum is σ = 380540020224. Its totient is φ = 39191040000.

The previous prime is 122755839457. The next prime is 122755839553. The reversal of 122755839552 is 255938557221.

122755839552 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 5 + 5 + 83 + 9 + 552 = 666.

It is a super-2 number, since 2×122755839552² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (122755839553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48692052 + ... + 48694572.

It is an arithmetic number, because the mean of its divisors is an integer number (1132559584).

Almost surely, 2^122755839552 is an apocalyptic number.

122755839552 is a gapful number since it is divisible by the number (12) 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 122755839552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190270010112).

122755839552 is an abundant number, since it is smaller than the sum of its proper divisors (257784180672).

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

122755839552 is a wasteful number, since it uses less digits than its factorization.

122755839552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2658 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 54.

The spelling of 122755839552 in words is "one hundred twenty-two billion, seven hundred fifty-five million, eight hundred thirty-nine thousand, five hundred fifty-two".