122740305800 has 108 divisors (see below), whose sum is σ = 332056256805. Its totient is φ = 42070499520.

The previous prime is 122740305791. The next prime is 122740305823. The reversal of 122740305800 is 8503047221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 120285499684 + 2454806116 = 346822^2 + 49546^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247730.

It is a super-3 number, since 3×122740305800³ (a number of 34 digits) contains 333 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 26 ways as a sum of consecutive naturals, for example, 34680431 + ... + 34683969.

Almost surely, 2^122740305800 is an apocalyptic number.

122740305800 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 122740305800

122740305800 is an abundant number, since it is smaller than the sum of its proper divisors (209315951005).

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

122740305800 is an frugal number, since it uses more digits than its factorization.

122740305800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

Multiplying 122740305800 by its sum of digits (32), we get a square (3927689785600 = 1981840²).

The spelling of 122740305800 in words is "one hundred twenty-two billion, seven hundred forty million, three hundred five thousand, eight hundred".