121929192 has 128 divisors (see below), whose sum is σ = 422323200. Its totient is φ = 31665600.

The previous prime is 121929163. The next prime is 121929193. The reversal of 121929192 is 291929121.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121929193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12967 + ... + 20297.

It is an arithmetic number, because the mean of its divisors is an integer number (3299400).

Almost surely, 2^121929192 is an apocalyptic number.

121929192 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 121929192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211161600).

121929192 is an abundant number, since it is smaller than the sum of its proper divisors (300394008).

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

121929192 is a wasteful number, since it uses less digits than its factorization.

121929192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7364 (or 7354 counting only the distinct ones).

The product of its digits is 5832, while the sum is 36.

The square root of 121929192 is about 11042.1552244116. The cubic root of 121929192 is about 495.8715957072.

The spelling of 121929192 in words is "one hundred twenty-one million, nine hundred twenty-nine thousand, one hundred ninety-two".