121874688 has 162 divisors, whose sum is σ = 381720066. Its totient is φ = 37380096.

The previous prime is 121874603. The next prime is 121874689. The reversal of 121874688 is 886478121.

121874688 is a `hidden beast` number, since 1 + 2 + 187 + 468 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 14379264 + 107495424 = 3792^2 + 10368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121874689) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 389220 + ... + 389532.

Almost surely, 2^121874688 is an apocalyptic number.

121874688 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 121874688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190860033).

121874688 is an abundant number, since it is smaller than the sum of its proper divisors (259845378).

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

121874688 is a wasteful number, since it uses less digits than its factorization.

121874688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 331 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 121874688 is about 11039.6869520834. The cubic root of 121874688 is about 495.7976975888.

The spelling of 121874688 in words is "one hundred twenty-one million, eight hundred seventy-four thousand, six hundred eighty-eight".