122494457917440 has 2080 divisors, whose sum is σ = 509763813571584. Its totient is φ = 27560658862080.

The previous prime is 122494457917369. The next prime is 122494457917441. The reversal of 122494457917440 is 44719754494221.

122494457917440 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 9 + 4 + 4 + 579 + 17 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (122494457917441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 386417848162 + ... + 386417848478.

Almost surely, 2^{122494457917440} is an apocalyptic number.

122494457917440 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 122494457917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254881906785792).

122494457917440 is an abundant number, since it is smaller than the sum of its proper divisors (387269355654144).

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

122494457917440 is a wasteful number, since it uses less digits than its factorization.

122494457917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 122494457917440 in words is "one hundred twenty-two trillion, four hundred ninety-four billion, four hundred fifty-seven million, nine hundred seventeen thousand, four hundred forty".