120231220024032 has 384 divisors, whose sum is σ = 361428118571520. Its totient is φ = 34668353617920.

The previous prime is 120231220024031. The next prime is 120231220024043. The reversal of 120231220024032 is 230420022132021.

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 = 120231220023993 and 120231220024011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120231220024031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5681188683 + ... + 5681209845.

It is an arithmetic number, because the mean of its divisors is an integer number (941219058780).

Almost surely, 2^{120231220024032} is an apocalyptic number.

120231220024032 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 120231220024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180714059285760).

120231220024032 is an abundant number, since it is smaller than the sum of its proper divisors (241196898547488).

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

120231220024032 is a wasteful number, since it uses less digits than its factorization.

120231220024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22346 (or 22338 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 120231220024032 its reverse (230420022132021), we get a palindrome (350651242156053).

The spelling of 120231220024032 in words is "one hundred twenty trillion, two hundred thirty-one billion, two hundred twenty million, twenty-four thousand, thirty-two".