122547412640 has 96 divisors (see below), whose sum is σ = 294430698576. Its totient is φ = 48191569920.

The previous prime is 122547412613. The next prime is 122547412657. The reversal of 122547412640 is 46214745221.

It can be written as a sum of positive squares in 8 ways, for example, as 9406672144 + 113140740496 = 96988^2 + 336364^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 122547412594 and 122547412603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3639080 + ... + 3672600.

Almost surely, 2^122547412640 is an apocalyptic number.

122547412640 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 122547412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147215349288).

122547412640 is an abundant number, since it is smaller than the sum of its proper divisors (171883285936).

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

122547412640 is a wasteful number, since it uses less digits than its factorization.

122547412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33922 (or 33914 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The spelling of 122547412640 in words is "one hundred twenty-two billion, five hundred forty-seven million, four hundred twelve thousand, six hundred forty".