121652496 has 160 divisors (see below), whose sum is σ = 407712000. Its totient is φ = 34715520.

The previous prime is 121652471. The next prime is 121652507. The reversal of 121652496 is 694256121.

121652496 = 160³ + 161³ + ... + 183³.

121652496 is a `hidden beast` number, since 1 + 2 + 165 + 2 + 496 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121652496.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147766 + ... + 148586.

It is an arithmetic number, because the mean of its divisors is an integer number (2548200).

Almost surely, 2^121652496 is an apocalyptic number.

121652496 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 121652496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203856000).

121652496 is an abundant number, since it is smaller than the sum of its proper divisors (286059504).

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

121652496 is an equidigital number, since it uses as much as digits as its factorization.

121652496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 833 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 121652496 is about 11029.6190324054. The cubic root of 121652496 is about 495.4962149812.

The spelling of 121652496 in words is "one hundred twenty-one million, six hundred fifty-two thousand, four hundred ninety-six".