121963968 has 140 divisors (see below), whose sum is σ = 413310832. Its totient is φ = 34836480.

The previous prime is 121963957. The next prime is 121963979. The reversal of 121963968 is 869369121.

It is a happy number.

121963968 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 639 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (121963957) and next prime (121963979).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34608 + ... + 37968.

Almost surely, 2^121963968 is an apocalyptic number.

121963968 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 121963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206655416).

121963968 is an abundant number, since it is smaller than the sum of its proper divisors (291346864).

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

121963968 is an equidigital number, since it uses as much as digits as its factorization.

121963968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3373 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 121963968 is about 11043.7298047354. The cubic root of 121963968 is about 495.9187345182.

The spelling of 121963968 in words is "one hundred twenty-one million, nine hundred sixty-three thousand, nine hundred sixty-eight".