122414953472 has 352 divisors, whose sum is σ = 320353862400. Its totient is φ = 45482508288.

The previous prime is 122414953399. The next prime is 122414953501. The reversal of 122414953472 is 274359414221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85664054 + ... + 85665482.

It is an arithmetic number, because the mean of its divisors is an integer number (910096200).

Almost surely, 2^122414953472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122414953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160176931200).

122414953472 is an abundant number, since it is smaller than the sum of its proper divisors (197938908928).

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

122414953472 is a wasteful number, since it uses less digits than its factorization.

122414953472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1511 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The spelling of 122414953472 in words is "one hundred twenty-two billion, four hundred fourteen million, nine hundred fifty-three thousand, four hundred seventy-two".