121824144 has 120 divisors (see below), whose sum is σ = 373726080. Its totient is φ = 36815616.

The previous prime is 121824127. The next prime is 121824149. The reversal of 121824144 is 441428121.

It is a super-2 number, since 2×121824144² = 29682244122665472, which contains 22 as substring.

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 (121824149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109897 + ... + 110999.

It is an arithmetic number, because the mean of its divisors is an integer number (3114384).

Almost surely, 2^121824144 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 121824144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186863040).

121824144 is an abundant number, since it is smaller than the sum of its proper divisors (251901936).

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

121824144 is a wasteful number, since it uses less digits than its factorization.

121824144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1180 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 121824144 is about 11037.3975193430. The cubic root of 121824144 is about 495.7291488625.

The spelling of 121824144 in words is "one hundred twenty-one million, eight hundred twenty-four thousand, one hundred forty-four".