121992768 has 168 divisors, whose sum is σ = 375635520. Its totient is φ = 37739520.

The previous prime is 121992757. The next prime is 121992779. The reversal of 121992768 is 867299121.

It is an interprime number because it is at equal distance from previous prime (121992757) and next prime (121992779).

Its product of digits (108864) is a multiple of the sum of its prime divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776946 + ... + 777102.

Almost surely, 2^121992768 is an apocalyptic number.

121992768 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 121992768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187817760).

121992768 is an abundant number, since it is smaller than the sum of its proper divisors (253642752).

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

121992768 is a wasteful number, since it uses less digits than its factorization.

121992768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 121992768 is about 11045.0336350778. The cubic root of 121992768 is about 495.9577660883.

It can be divided in two parts, 121992 and 768, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 121992768 in words is "one hundred twenty-one million, nine hundred ninety-two thousand, seven hundred sixty-eight".