122045620000 has 120 divisors (see below), whose sum is σ = 300559674492. Its totient is φ = 48768000000.

The previous prime is 122045619961. The next prime is 122045620043. The reversal of 122045620000 is 26540221.

It can be written as a sum of positive squares in 10 ways, for example, as 69994110096 + 52051509904 = 264564^2 + 228148^2 .

It is a super-2 number, since 2×122045620000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 24017460 + ... + 24022540.

Almost surely, 2^122045620000 is an apocalyptic number.

122045620000 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 122045620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150279837246).

122045620000 is an abundant number, since it is smaller than the sum of its proper divisors (178514054492).

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

122045620000 is an equidigital number, since it uses as much as digits as its factorization.

122045620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 122045620000 in words is "one hundred twenty-two billion, forty-five million, six hundred twenty thousand".