121042688 has 72 divisors (see below), whose sum is σ = 267502368. Its totient is φ = 54300672.

The previous prime is 121042679. The next prime is 121042739. The reversal of 121042688 is 886240121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122645 + ... + 123627.

Almost surely, 2^121042688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133751184).

121042688 is an abundant number, since it is smaller than the sum of its proper divisors (146459680).

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

121042688 is an equidigital number, since it uses as much as digits as its factorization.

121042688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 121042688 is about 11001.9401925297. The cubic root of 121042688 is about 494.6669023844. Note that the first 3 decimals are identical.

The spelling of 121042688 in words is "one hundred twenty-one million, forty-two thousand, six hundred eighty-eight".