33232412100 has 144 divisors (see below), whose sum is σ = 99021662208. Its totient is φ = 8598850560.

The previous prime is 33232412089. The next prime is 33232412173. The reversal of 33232412100 is 121423233.

It is a super-2 number, since 2×33232412100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4247392 + ... + 4255208.

It is an arithmetic number, because the mean of its divisors is an integer number (687650432).

Almost surely, 2^33232412100 is an apocalyptic number.

33232412100 is a gapful number since it is divisible by the number (30) 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 33232412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49510831104).

33232412100 is an abundant number, since it is smaller than the sum of its proper divisors (65789250108).

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

33232412100 is a wasteful number, since it uses less digits than its factorization.

33232412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 33232412100 its reverse (121423233), we get a palindrome (33353835333).

The spelling of 33232412100 in words is "thirty-three billion, two hundred thirty-two million, four hundred twelve thousand, one hundred".