122881024 has 132 divisors (see below), whose sum is σ = 298698240. Its totient is φ = 50319360.

The previous prime is 122881001. The next prime is 122881039. The reversal of 122881024 is 420188221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 122880983 and 122881001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1555417 + ... + 1555495.

Almost surely, 2^122881024 is an apocalyptic number.

122881024 is a gapful number since it is divisible by the number (14) 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 122881024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149349120).

122881024 is an abundant number, since it is smaller than the sum of its proper divisors (175817216).

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

122881024 is an equidigital number, since it uses as much as digits as its factorization.

122881024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 122881024 is about 11085.1713563661. The cubic root of 122881024 is about 497.1585819410.

The spelling of 122881024 in words is "one hundred twenty-two million, eight hundred eighty-one thousand, twenty-four".