122881503528 has 192 divisors, whose sum is σ = 384809967360. Its totient is φ = 34698129408.

The previous prime is 122881503517. The next prime is 122881503553. The reversal of 122881503528 is 825305188221.

122881503528 is a `hidden beast` number, since 1 + 2 + 288 + 15 + 0 + 352 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48055626 + ... + 48058182.

It is an arithmetic number, because the mean of its divisors is an integer number (2004218580).

Almost surely, 2^122881503528 is an apocalyptic number.

122881503528 is a gapful number since it is divisible by the number (18) 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 122881503528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192404983680).

122881503528 is an abundant number, since it is smaller than the sum of its proper divisors (261928463832).

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

122881503528 is a wasteful number, since it uses less digits than its factorization.

122881503528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 122881503528 in words is "one hundred twenty-two billion, eight hundred eighty-one million, five hundred three thousand, five hundred twenty-eight".