122982128640 has 1056 divisors, whose sum is σ = 515018649600. Its totient is φ = 27095040000.

The previous prime is 122982128639. The next prime is 122982128663. The reversal of 122982128640 is 46821289221.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489968515 + ... + 489968765.

Almost surely, 2^122982128640 is an apocalyptic number.

122982128640 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 122982128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257509324800).

122982128640 is an abundant number, since it is smaller than the sum of its proper divisors (392036520960).

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

122982128640 is a wasteful number, since it uses less digits than its factorization.

122982128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 122982128640 in words is "one hundred twenty-two billion, nine hundred eighty-two million, one hundred twenty-eight thousand, six hundred forty".