122045504544 has 240 divisors, whose sum is σ = 363483179136. Its totient is φ = 40168742400.

The previous prime is 122045504531. The next prime is 122045504611. The reversal of 122045504544 is 445405540221.

122045504544 is a `hidden beast` number, since 1 + 2 + 20 + 4 + 550 + 45 + 44 = 666.

It is a super-3 number, since 3×122045504544³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 122045504499 and 122045504508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119534754 + ... + 119535774.

Almost surely, 2^122045504544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122045504544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181741589568).

122045504544 is an abundant number, since it is smaller than the sum of its proper divisors (241437674592).

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

122045504544 is a wasteful number, since it uses less digits than its factorization.

122045504544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 122045504544 in words is "one hundred twenty-two billion, forty-five million, five hundred four thousand, five hundred forty-four".