122738171532480 has 504 divisors, whose sum is σ = 493837225755120. Its totient is φ = 27897704755200.

The previous prime is 122738171532349. The next prime is 122738171532517. The reversal of 122738171532480 is 84235171837221.

122738171532480 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 3 + 8 + 1 + 7 + 153 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×122738171532480² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22831030 + ... + 27689930.

Almost surely, 2^{122738171532480} is an apocalyptic number.

122738171532480 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 122738171532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246918612877560).

122738171532480 is an abundant number, since it is smaller than the sum of its proper divisors (371099054222640).

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

122738171532480 is a wasteful number, since it uses less digits than its factorization.

122738171532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859117 (or 4859097 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 122738171532480 in words is "one hundred twenty-two trillion, seven hundred thirty-eight billion, one hundred seventy-one million, five hundred thirty-two thousand, four hundred eighty".