121298688 has 288 divisors, whose sum is σ = 431692800. Its totient is φ = 32845824.

The previous prime is 121298687. The next prime is 121298701. The reversal of 121298688 is 886892121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (110592) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121298687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112778 + ... + 1112886.

Almost surely, 2^121298688 is an apocalyptic number.

121298688 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 121298688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215846400).

121298688 is an abundant number, since it is smaller than the sum of its proper divisors (310394112).

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

121298688 is a wasteful number, since it uses less digits than its factorization.

121298688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 121298688 is about 11013.5683590742. The cubic root of 121298688 is about 495.0153897878.

The spelling of 121298688 in words is "one hundred twenty-one million, two hundred ninety-eight thousand, six hundred eighty-eight".