33100122120000 has 560 divisors, whose sum is σ = 117911664689280. Its totient is φ = 8143801344000.

The previous prime is 33100122119993. The next prime is 33100122120017. The reversal of 33100122120000 is 2122100133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4528676346 + ... + 4528683654.

It is an arithmetic number, because the mean of its divisors is an integer number (210556544088).

Almost surely, 2^{33100122120000} is an apocalyptic number.

33100122120000 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 33100122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58955832344640).

33100122120000 is an abundant number, since it is smaller than the sum of its proper divisors (84811542569280).

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

33100122120000 is a wasteful number, since it uses less digits than its factorization.

33100122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10260 (or 10235 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 33100122120000 its reverse (2122100133), we get a palindrome (33102244220133).

The spelling of 33100122120000 in words is "thirty-three trillion, one hundred billion, one hundred twenty-two million, one hundred twenty thousand".