122363598240 has 576 divisors, whose sum is σ = 491080060800. Its totient is φ = 28345614336.

The previous prime is 122363598193. The next prime is 122363598263. The reversal of 122363598240 is 42895363221.

122363598240 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 635 + 9 + 8 + 2 + 4 + 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, 12406431 + ... + 12416289.

It is an arithmetic number, because the mean of its divisors is an integer number (852569550).

Almost surely, 2^122363598240 is an apocalyptic number.

122363598240 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 122363598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245540030400).

122363598240 is an abundant number, since it is smaller than the sum of its proper divisors (368716462560).

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

122363598240 is a wasteful number, since it uses less digits than its factorization.

122363598240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9926 (or 9899 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 122363598240 in words is "one hundred twenty-two billion, three hundred sixty-three million, five hundred ninety-eight thousand, two hundred forty".