121125888 has 176 divisors, whose sum is σ = 387456160. Its totient is φ = 37158912.

The previous prime is 121125863. The next prime is 121125913. The reversal of 121125888 is 888521121.

It is an interprime number because it is at equal distance from previous prime (121125863) and next prime (121125913).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359256 + ... + 359592.

Almost surely, 2^121125888 is an apocalyptic number.

121125888 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 121125888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193728080).

121125888 is an abundant number, since it is smaller than the sum of its proper divisors (266330272).

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

121125888 is a wasteful number, since it uses less digits than its factorization.

121125888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 355 counting only the distinct ones).

The product of its digits is 10240, while the sum is 36.

The square root of 121125888 is about 11005.7206942571. The cubic root of 121125888 is about 494.7802146404.

It can be divided in two parts, 1211258 and 88, that added together give a triangular number (1211346 = T₁₅₅₆).

The spelling of 121125888 in words is "one hundred twenty-one million, one hundred twenty-five thousand, eight hundred eighty-eight".