33120414100 has 72 divisors (see below), whose sum is σ = 72404350200. Its totient is φ = 13150279680.

The previous prime is 33120414097. The next prime is 33120414121. The reversal of 33120414100 is 141402133.

It can be written as a sum of positive squares in 12 ways, for example, as 16961936644 + 16158477456 = 130238^2 + 127116^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8129664 + ... + 8133736.

It is an arithmetic number, because the mean of its divisors is an integer number (1005615975).

Almost surely, 2^33120414100 is an apocalyptic number.

It is an amenable number.

33120414100 is an abundant number, since it is smaller than the sum of its proper divisors (39283936100).

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

33120414100 is a wasteful number, since it uses less digits than its factorization.

33120414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 33120414100 its reverse (141402133), we get a palindrome (33261816233).

The spelling of 33120414100 in words is "thirty-three billion, one hundred twenty million, four hundred fourteen thousand, one hundred".