122538255840 has 1536 divisors, whose sum is σ = 590129971200. Its totient is φ = 22922403840.

The previous prime is 122538255811. The next prime is 122538255863. The reversal of 122538255840 is 48552835221.

122538255840 is a `hidden beast` number, since 1 + 2 + 2 + 53 + 8 + 2 + 558 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 185945431 + ... + 185946089.

It is an arithmetic number, because the mean of its divisors is an integer number (384199200).

Almost surely, 2^122538255840 is an apocalyptic number.

122538255840 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 122538255840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295064985600).

122538255840 is an abundant number, since it is smaller than the sum of its proper divisors (467591715360).

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

122538255840 is a wasteful number, since it uses less digits than its factorization.

122538255840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 122538255840 in words is "one hundred twenty-two billion, five hundred thirty-eight million, two hundred fifty-five thousand, eight hundred forty".