33000010002120 has 192 divisors, whose sum is σ = 115533606614400. Its totient is φ = 7518605445120.

The previous prime is 33000010002097. The next prime is 33000010002131. The reversal of 33000010002120 is 2120001000033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 33000010002096 and 33000010002105.

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, 7194225 + ... + 10851584.

It is an arithmetic number, because the mean of its divisors is an integer number (601737534450).

Almost surely, 2^{33000010002120} is an apocalyptic number.

33000010002120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33000010002120 is an abundant number, since it is smaller than the sum of its proper divisors (82533596612280).

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

33000010002120 is a wasteful number, since it uses less digits than its factorization.

33000010002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18046148 (or 18046137 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 33000010002120 its reverse (2120001000033), we get a palindrome (35120011002153).

The spelling of 33000010002120 in words is "thirty-three trillion, ten million, two thousand, one hundred twenty".