121938912 has 96 divisors (see below), whose sum is σ = 359251200. Its totient is φ = 40235904.

The previous prime is 121938871. The next prime is 121938913. The reversal of 121938912 is 219839121.

It is a tau number, because it is divible by the number of its divisors (96).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (121938913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91789 + ... + 93107.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2^121938912 is an apocalyptic number.

121938912 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 121938912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179625600).

121938912 is an abundant number, since it is smaller than the sum of its proper divisors (237312288).

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

121938912 is a wasteful number, since it uses less digits than its factorization.

121938912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1431 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 121938912 is about 11042.5953471093. The cubic root of 121938912 is about 495.8847720536.

The spelling of 121938912 in words is "one hundred twenty-one million, nine hundred thirty-eight thousand, nine hundred twelve".