432002121012 has 192 divisors, whose sum is σ = 1396938977280. Its totient is φ = 112162665600.

The previous prime is 432002120981. The next prime is 432002121053. The reversal of 432002121012 is 210121200234.

It is a happy number.

432002121012 is a `hidden beast` number, since 432 + 0 + 0 + 21 + 210 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23583337 + ... + 23601647.

It is an arithmetic number, because the mean of its divisors is an integer number (7275723840).

Almost surely, 2^432002121012 is an apocalyptic number.

432002121012 is a gapful number since it is divisible by the number (42) 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 432002121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698469488640).

432002121012 is an abundant number, since it is smaller than the sum of its proper divisors (964936856268).

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

432002121012 is a wasteful number, since it uses less digits than its factorization.

432002121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21179 (or 21171 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 432002121012 its reverse (210121200234), we get a palindrome (642123321246).

The spelling of 432002121012 in words is "four hundred thirty-two billion, two million, one hundred twenty-one thousand, twelve".