122414353920 has 400 divisors, whose sum is σ = 448678715760. Its totient is φ = 31882346496.

The previous prime is 122414353891. The next prime is 122414353949. The reversal of 122414353920 is 29353414221.

122414353920 is a `hidden beast` number, since 1 + 22 + 41 + 43 + 539 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (122414353891) and next prime (122414353949).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8909616 + ... + 8923344.

Almost surely, 2^122414353920 is an apocalyptic number.

122414353920 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 122414353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224339357880).

122414353920 is an abundant number, since it is smaller than the sum of its proper divisors (326264361840).

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

122414353920 is an equidigital number, since it uses as much as digits as its factorization.

122414353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13807 (or 13782 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 122414353920 in words is "one hundred twenty-two billion, four hundred fourteen million, three hundred fifty-three thousand, nine hundred twenty".