121133792 has 48 divisors (see below), whose sum is σ = 258496560. Its totient is φ = 55875456.

The previous prime is 121133777. The next prime is 121133807. The reversal of 121133792 is 297331121.

It is an interprime number because it is at equal distance from previous prime (121133777) and next prime (121133807).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69443 + ... + 71165.

It is an arithmetic number, because the mean of its divisors is an integer number (5385345).

Almost surely, 2^121133792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121133792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129248280).

121133792 is an abundant number, since it is smaller than the sum of its proper divisors (137362768).

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

121133792 is an equidigital number, since it uses as much as digits as its factorization.

121133792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1738 counting only the distinct ones).

The product of its digits is 2268, while the sum is 29.

The square root of 121133792 is about 11006.0797743792. The cubic root of 121133792 is about 494.7909766056.

The spelling of 121133792 in words is "one hundred twenty-one million, one hundred thirty-three thousand, seven hundred ninety-two".