121384416 has 48 divisors (see below), whose sum is σ = 324659664. Its totient is φ = 39696384.

The previous prime is 121384411. The next prime is 121384433. The reversal of 121384416 is 614483121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×121384416² = 29468352895322112, which contains 22 as substring.

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 (121384411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6841 + ... + 17016.

It is an arithmetic number, because the mean of its divisors is an integer number (6763743).

Almost surely, 2^121384416 is an apocalyptic number.

121384416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121384416 is an abundant number, since it is smaller than the sum of its proper divisors (203275248).

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

121384416 is a wasteful number, since it uses less digits than its factorization.

121384416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23923 (or 23915 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 121384416 is about 11017.4595982922. The cubic root of 121384416 is about 495.1319799081.

The spelling of 121384416 in words is "one hundred twenty-one million, three hundred eighty-four thousand, four hundred sixteen".