121185792 has 360 divisors, whose sum is σ = 457272816. Its totient is φ = 30081024.

The previous prime is 121185749. The next prime is 121185793. The reversal of 121185792 is 297581121.

It is a happy number.

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

Its product of digits (10080) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121185793) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7128568 + ... + 7128584.

Almost surely, 2^121185792 is an apocalyptic number.

121185792 is a gapful number since it is divisible by the number (12) 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 121185792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228636408).

121185792 is an abundant number, since it is smaller than the sum of its proper divisors (336087024).

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

121185792 is a wasteful number, since it uses less digits than its factorization.

121185792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 121185792 is about 11008.4418515973. The cubic root of 121185792 is about 494.8617673392.

The spelling of 121185792 in words is "one hundred twenty-one million, one hundred eighty-five thousand, seven hundred ninety-two".