120412232334432 has 144 divisors (see below), whose sum is σ = 343207673499600. Its totient is φ = 40045362610176.

The previous prime is 120412232334431. The next prime is 120412232334461. The reversal of 120412232334432 is 234433232214021.

120412232334432 is a `hidden beast` number, since 1 + 2 + 0 + 41 + 223 + 23 + 344 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×120412232334432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120412232334431) 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, 3388344568 + ... + 3388380104.

It is an arithmetic number, because the mean of its divisors is an integer number (2383386621525).

Almost surely, 2^{120412232334432} is an apocalyptic number.

120412232334432 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 120412232334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171603836749800).

120412232334432 is an abundant number, since it is smaller than the sum of its proper divisors (222795441165168).

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

120412232334432 is a wasteful number, since it uses less digits than its factorization.

120412232334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62205 (or 62194 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 120412232334432 its reverse (234433232214021), we get a palindrome (354845464548453).

The spelling of 120412232334432 in words is "one hundred twenty trillion, four hundred twelve billion, two hundred thirty-two million, three hundred thirty-four thousand, four hundred thirty-two".