121601792 has 72 divisors (see below), whose sum is σ = 266128800. Its totient is φ = 55111680.

The previous prime is 121601791. The next prime is 121601797. The reversal of 121601792 is 297106121.

It is a super-2 number, since 2×121601792² = 29573991635222528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121601791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202709 + ... + 203307.

Almost surely, 2^121601792 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 121601792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133064400).

121601792 is an abundant number, since it is smaller than the sum of its proper divisors (144527008).

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

121601792 is an equidigital number, since it uses as much as digits as its factorization.

121601792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 121601792 is about 11027.3202547128. The cubic root of 121601792 is about 495.4273655064.

The spelling of 121601792 in words is "one hundred twenty-one million, six hundred one thousand, seven hundred ninety-two".