432012120102200 has 192 divisors, whose sum is σ = 1117255875333120. Its totient is φ = 154015048512000.

The previous prime is 432012120102181. The next prime is 432012120102209. The reversal of 432012120102200 is 2201021210234.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432012120102209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153332165 + ... + 156124235.

It is an arithmetic number, because the mean of its divisors is an integer number (5819041017360).

Almost surely, 2^{432012120102200} is an apocalyptic number.

432012120102200 is a gapful number since it is divisible by the number (40) 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 432012120102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558627937666560).

432012120102200 is an abundant number, since it is smaller than the sum of its proper divisors (685243755230920).

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

432012120102200 is a wasteful number, since it uses less digits than its factorization.

432012120102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793478 (or 2793469 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 432012120102200 its reverse (2201021210234), we get a palindrome (434213141312434).

The spelling of 432012120102200 in words is "four hundred thirty-two trillion, twelve billion, one hundred twenty million, one hundred two thousand, two hundred".