121894464 has 56 divisors (see below), whose sum is σ = 326440800. Its totient is φ = 40136704.

The previous prime is 121894463. The next prime is 121894477. The reversal of 121894464 is 464498121.

It is not an unprimeable number, because it can be changed into a prime (121894463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12112 + ... + 19760.

It is an arithmetic number, because the mean of its divisors is an integer number (5829300).

Almost surely, 2^121894464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121894464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163220400).

121894464 is an abundant number, since it is smaller than the sum of its proper divisors (204546336).

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

121894464 is an equidigital number, since it uses as much as digits as its factorization.

121894464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7747 (or 7737 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 121894464 is about 11040.5825933236. The cubic root of 121894464 is about 495.8245130146.

It can be divided in two parts, 12189 and 4464, that added together give a triangular number (16653 = T₁₈₂).

The spelling of 121894464 in words is "one hundred twenty-one million, eight hundred ninety-four thousand, four hundred sixty-four".