121960512 has 112 divisors (see below), whose sum is σ = 361574080. Its totient is φ = 40310784.

The previous prime is 121960511. The next prime is 121960577. The reversal of 121960512 is 215069121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121960511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281448 + ... + 281880.

It is an arithmetic number, because the mean of its divisors is an integer number (3228340).

Almost surely, 2^121960512 is an apocalyptic number.

121960512 is a gapful number since it is divisible by the number (12) 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 121960512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180787040).

121960512 is an abundant number, since it is smaller than the sum of its proper divisors (239613568).

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

121960512 is a wasteful number, since it uses less digits than its factorization.

121960512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 121960512 is about 11043.5733347499. The cubic root of 121960512 is about 495.9140503169.

The spelling of 121960512 in words is "one hundred twenty-one million, nine hundred sixty thousand, five hundred twelve".