122340038165280 has 576 divisors, whose sum is σ = 486675165352320. Its totient is φ = 28529494050816.

The previous prime is 122340038165273. The next prime is 122340038165353. The reversal of 122340038165280 is 82561830043221.

122340038165280 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 40 + 0 + 3 + 81 + 6 + 528 + 0 = 666.

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

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, 17256559 + ... + 23290961.

It is an arithmetic number, because the mean of its divisors is an integer number (844922162070).

Almost surely, 2^{122340038165280} is an apocalyptic number.

122340038165280 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 122340038165280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243337582676160).

122340038165280 is an abundant number, since it is smaller than the sum of its proper divisors (364335127187040).

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

122340038165280 is a wasteful number, since it uses less digits than its factorization.

122340038165280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6034478 (or 6034445 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 122340038165280 in words is "one hundred twenty-two trillion, three hundred forty billion, thirty-eight million, one hundred sixty-five thousand, two hundred eighty".