121193136 has 120 divisors (see below), whose sum is σ = 370940544. Its totient is φ = 36771840.

The previous prime is 121193123. The next prime is 121193147. The reversal of 121193136 is 631391121.

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

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, 75090 + ... + 76686.

Almost surely, 2^121193136 is an apocalyptic number.

121193136 is a gapful number since it is divisible by the number (16) 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 121193136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185470272).

121193136 is an abundant number, since it is smaller than the sum of its proper divisors (249747408).

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

121193136 is a wasteful number, since it uses less digits than its factorization.

121193136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1650 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 121193136 is about 11008.7754087364. The cubic root of 121193136 is about 494.8717635369.

The spelling of 121193136 in words is "one hundred twenty-one million, one hundred ninety-three thousand, one hundred thirty-six".