121963520 has 176 divisors, whose sum is σ = 346647168. Its totient is φ = 40304640.

The previous prime is 121963519. The next prime is 121963537. The reversal of 121963520 is 25369121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1469399 + ... + 1469481.

Almost surely, 2^121963520 is an apocalyptic number.

121963520 is a gapful number since it is divisible by the number (10) 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 121963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173323584).

121963520 is an abundant number, since it is smaller than the sum of its proper divisors (224683648).

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

121963520 is an equidigital number, since it uses as much as digits as its factorization.

121963520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 121963520 is about 11043.7095217142. The cubic root of 121963520 is about 495.9181273119.

The spelling of 121963520 in words is "one hundred twenty-one million, nine hundred sixty-three thousand, five hundred twenty".