121146912 has 72 divisors (see below), whose sum is σ = 345699900. Its totient is φ = 40243200.

The previous prime is 121146899. The next prime is 121146919. The reversal of 121146912 is 219641121.

It can be written as a sum of positive squares in 2 ways, for example, as 84713616 + 36433296 = 9204^2 + 6036^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (121146919) 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 11 ways as a sum of consecutive naturals, for example, 114964 + ... + 116012.

Almost surely, 2^121146912 is an apocalyptic number.

121146912 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 121146912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172849950).

121146912 is an abundant number, since it is smaller than the sum of its proper divisors (224552988).

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

121146912 is a wasteful number, since it uses less digits than its factorization.

121146912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1455 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 121146912 is about 11006.6757924452. The cubic root of 121146912 is about 494.8088395628.

The spelling of 121146912 in words is "one hundred twenty-one million, one hundred forty-six thousand, nine hundred twelve".