122440059720 has 576 divisors, whose sum is σ = 451742054400. Its totient is φ = 28721510400.

The previous prime is 122440059697. The next prime is 122440059727. The reversal of 122440059720 is 27950044221.

122440059720 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 40 + 0 + 597 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122440059727) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 319686649 + ... + 319687031.

It is an arithmetic number, because the mean of its divisors is an integer number (784274400).

Almost surely, 2^122440059720 is an apocalyptic number.

122440059720 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 122440059720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225871027200).

122440059720 is an abundant number, since it is smaller than the sum of its proper divisors (329301994680).

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

122440059720 is a wasteful number, since it uses less digits than its factorization.

122440059720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

It can be divided in two parts, 12244005 and 9720, that added together give a triangular number (12253725 = T₄₉₅₀).

The spelling of 122440059720 in words is "one hundred twenty-two billion, four hundred forty million, fifty-nine thousand, seven hundred twenty".