121381824 has 56 divisors (see below), whose sum is σ = 328013568. Its totient is φ = 39596800.

The previous prime is 121381811. The next prime is 121381829. The reversal of 121381824 is 428183121.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 121381791 and 121381800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121381829) 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, 2299 + ... + 15749.

Almost surely, 2^121381824 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 121381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164006784).

121381824 is an abundant number, since it is smaller than the sum of its proper divisors (206631744).

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

121381824 is a wasteful number, since it uses less digits than its factorization.

121381824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13513 (or 13503 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 121381824 is about 11017.3419661913. The cubic root of 121381824 is about 495.1284555918.

The spelling of 121381824 in words is "one hundred twenty-one million, three hundred eighty-one thousand, eight hundred twenty-four".