121291992 has 96 divisors (see below), whose sum is σ = 348828480. Its totient is φ = 39463200.

The previous prime is 121291979. The next prime is 121292009. The reversal of 121291992 is 299192121.

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 a congruent number.

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, 82867 + ... + 84317.

It is an arithmetic number, because the mean of its divisors is an integer number (3633630).

Almost surely, 2^121291992 is an apocalyptic number.

121291992 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 121291992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174414240).

121291992 is an abundant number, since it is smaller than the sum of its proper divisors (227536488).

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

121291992 is a wasteful number, since it uses less digits than its factorization.

121291992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1499 counting only the distinct ones).

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

The square root of 121291992 is about 11013.2643662086. The cubic root of 121291992 is about 495.0062809120.

The spelling of 121291992 in words is "one hundred twenty-one million, two hundred ninety-one thousand, nine hundred ninety-two".