122018561280 has 1296 divisors, whose sum is σ = 549401396544. Its totient is φ = 24710676480.

The previous prime is 122018561243. The next prime is 122018561281. The reversal of 122018561280 is 82165810221.

122018561280 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 18 + 561 + 2 + 80 = 666.

It is a super-2 number, since 2×122018561280² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (122018561281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 266998812 + ... + 266999268.

Almost surely, 2^122018561280 is an apocalyptic number.

122018561280 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 122018561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274700698272).

122018561280 is an abundant number, since it is smaller than the sum of its proper divisors (427382835264).

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

122018561280 is a wasteful number, since it uses less digits than its factorization.

122018561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 122018561280 in words is "one hundred twenty-two billion, eighteen million, five hundred sixty-one thousand, two hundred eighty".