121163328 has 168 divisors, whose sum is σ = 408285696. Its totient is φ = 33868800.

The previous prime is 121163309. The next prime is 121163347. The reversal of 121163328 is 823361121.

It is a happy number.

121163328 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 633 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (121163309) and next prime (121163347).

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, 81633 + ... + 83103.

It is an arithmetic number, because the mean of its divisors is an integer number (2430272).

Almost surely, 2^121163328 is an apocalyptic number.

121163328 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 121163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204142848).

121163328 is an abundant number, since it is smaller than the sum of its proper divisors (287122368).

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

121163328 is a wasteful number, since it uses less digits than its factorization.

121163328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1500 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 121163328 is about 11007.4214964269. The cubic root of 121163328 is about 494.8311882273.

The spelling of 121163328 in words is "one hundred twenty-one million, one hundred sixty-three thousand, three hundred twenty-eight".