121395744 has 72 divisors (see below), whose sum is σ = 348042240. Its totient is φ = 40134528.

The previous prime is 121395739. The next prime is 121395761. The reversal of 121395744 is 447593121.

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

It is a super-2 number, since 2×121395744² = 29473853322627072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121395699 and 121395708.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34917 + ... + 38235.

It is an arithmetic number, because the mean of its divisors is an integer number (4833920).

Almost surely, 2^121395744 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 121395744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174021120).

121395744 is an abundant number, since it is smaller than the sum of its proper divisors (226646496).

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

121395744 is a wasteful number, since it uses less digits than its factorization.

121395744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3451 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 121395744 is about 11017.9736794022. The cubic root of 121395744 is about 495.1473818869.

The spelling of 121395744 in words is "one hundred twenty-one million, three hundred ninety-five thousand, seven hundred forty-four".