122736424240 has 80 divisors (see below), whose sum is σ = 289500854688. Its totient is φ = 48383612928.

The previous prime is 122736424183. The next prime is 122736424241. The reversal of 122736424240 is 42424637221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 122736424240.

It is not an unprimeable number, because it can be changed into a prime (122736424241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8010667 + ... + 8025973.

Almost surely, 2^122736424240 is an apocalyptic number.

122736424240 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 122736424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144750427344).

122736424240 is an abundant number, since it is smaller than the sum of its proper divisors (166764430448).

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

122736424240 is a wasteful number, since it uses less digits than its factorization.

122736424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16766 (or 16760 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 37.

The spelling of 122736424240 in words is "one hundred twenty-two billion, seven hundred thirty-six million, four hundred twenty-four thousand, two hundred forty".