120024412224 has 112 divisors (see below), whose sum is σ = 321753317376. Its totient is φ = 39483763200.

The previous prime is 120024412219. The next prime is 120024412229. The reversal of 120024412224 is 422214420021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120024412219) and next prime (120024412229).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 120024412194 and 120024412203.

It is not an unprimeable number, because it can be changed into a prime (120024412229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4644459 + ... + 4670229.

Almost surely, 2^120024412224 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 120024412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876658688).

120024412224 is an abundant number, since it is smaller than the sum of its proper divisors (201728905152).

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

120024412224 is a wasteful number, since it uses less digits than its factorization.

120024412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26104 (or 26094 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 120024412224 its reverse (422214420021), we get a palindrome (542238832245).

The spelling of 120024412224 in words is "one hundred twenty billion, twenty-four million, four hundred twelve thousand, two hundred twenty-four".