432211230000 has 1200 divisors, whose sum is σ = 1778746144032. Its totient is φ = 96768000000.

The previous prime is 432211229981. The next prime is 432211230001. The reversal of 432211230000 is 32112234.

432211230000 is a `hidden beast` number, since 432 + 2 + 1 + 1 + 230 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×432211230000² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (432211230001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1026629790 + ... + 1026630210.

Almost surely, 2^432211230000 is an apocalyptic number.

432211230000 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 432211230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889373072016).

432211230000 is an abundant number, since it is smaller than the sum of its proper divisors (1346534914032).

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

432211230000 is a wasteful number, since it uses less digits than its factorization.

432211230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 432211230000 its reverse (32112234), we get a palindrome (432243342234).

The spelling of 432211230000 in words is "four hundred thirty-two billion, two hundred eleven million, two hundred thirty thousand".