121496328 has 128 divisors (see below), whose sum is σ = 351436800. Its totient is φ = 38864448.

The previous prime is 121496321. The next prime is 121496329. The reversal of 121496328 is 823694121.

121496328 is a `hidden beast` number, since 1 + 2 + 14 + 9 + 632 + 8 = 666.

It is a super-2 number, since 2×121496328² = 29522715434967168, which contains 22 as substring.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 121496328 = 312³ + 450³ = 338³ + 436³.

Its product of digits (20736) is a multiple of the sum of its prime factors (288).

It is a junction number, because it is equal to n+sod(n) for n = 121496292 and 121496301.

It is not an unprimeable number, because it can be changed into a prime (121496321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 956601 + ... + 956727.

It is an arithmetic number, because the mean of its divisors is an integer number (2745600).

Almost surely, 2^121496328 is an apocalyptic number.

121496328 is a gapful number since it is divisible by the number (18) 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 121496328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175718400).

121496328 is an abundant number, since it is smaller than the sum of its proper divisors (229940472).

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

121496328 is a wasteful number, since it uses less digits than its factorization.

121496328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 121496328 is about 11022.5372759633. The cubic root of 121496328 is about 495.2840977050.

The spelling of 121496328 in words is "one hundred twenty-one million, four hundred ninety-six thousand, three hundred twenty-eight".