120224832 has 168 divisors, whose sum is σ = 398897856. Its totient is φ = 31675392.

The previous prime is 120224821. The next prime is 120224843. The reversal of 120224832 is 238422021.

It is an interprime number because it is at equal distance from previous prime (120224821) and next prime (120224843).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121813 + ... + 122795.

It is an arithmetic number, because the mean of its divisors is an integer number (2374392).

Almost surely, 2^120224832 is an apocalyptic number.

120224832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120224832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199448928).

120224832 is an abundant number, since it is smaller than the sum of its proper divisors (278673024).

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

120224832 is a wasteful number, since it uses less digits than its factorization.

120224832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 120224832 is about 10964.7084776569. The cubic root of 120224832 is about 493.5502690104.

Adding to 120224832 its reverse (238422021), we get a palindrome (358646853).

The spelling of 120224832 in words is "one hundred twenty million, two hundred twenty-four thousand, eight hundred thirty-two".