121653792 has 96 divisors (see below), whose sum is σ = 382152960. Its totient is φ = 37428480.

The previous prime is 121653787. The next prime is 121653799. The reversal of 121653792 is 297356121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (121653799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5817 + ... + 16647.

It is an arithmetic number, because the mean of its divisors is an integer number (3980760).

Almost surely, 2^121653792 is an apocalyptic number.

121653792 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 121653792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191076480).

121653792 is an abundant number, since it is smaller than the sum of its proper divisors (260499168).

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

121653792 is a wasteful number, since it uses less digits than its factorization.

121653792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10863 (or 10849 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 121653792 is about 11029.6777831449. The cubic root of 121653792 is about 495.4979745308.

The spelling of 121653792 in words is "one hundred twenty-one million, six hundred fifty-three thousand, seven hundred ninety-two".