33120022100 has 72 divisors (see below), whose sum is σ = 78555972096. Its totient is φ = 12020320000.

The previous prime is 33120022099. The next prime is 33120022147. The reversal of 33120022100 is 122002133.

It is a happy number.

It is a congruent number.

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, 544205 + ... + 601995.

It is an arithmetic number, because the mean of its divisors is an integer number (1091055168).

Almost surely, 2^33120022100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33120022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39277986048).

33120022100 is an abundant number, since it is smaller than the sum of its proper divisors (45435949996).

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

33120022100 is a wasteful number, since it uses less digits than its factorization.

33120022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58337 (or 58330 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 33120022100 its reverse (122002133), we get a palindrome (33242024233).

The spelling of 33120022100 in words is "thirty-three billion, one hundred twenty million, twenty-two thousand, one hundred".