32121234432 has 264 divisors, whose sum is σ = 106406531712. Its totient is φ = 9142272000.

The previous prime is 32121234413. The next prime is 32121234473. The reversal of 32121234432 is 23443212123.

32121234432 is a `hidden beast` number, since 3 + 2 + 1 + 212 + 3 + 443 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 32121234396 and 32121234405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20062432 + ... + 20064032.

Almost surely, 2^32121234432 is an apocalyptic number.

32121234432 is a gapful number since it is divisible by the number (32) 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 32121234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53203265856).

32121234432 is an abundant number, since it is smaller than the sum of its proper divisors (74285297280).

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

32121234432 is a wasteful number, since it uses less digits than its factorization.

32121234432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1924 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 32121234432 its reverse (23443212123), we get a palindrome (55564446555).

The spelling of 32121234432 in words is "thirty-two billion, one hundred twenty-one million, two hundred thirty-four thousand, four hundred thirty-two".