33210012000000 has 2016 divisors, whose sum is σ = 126654838797312. Its totient is φ = 7654400000000.

The previous prime is 33210011999993. The next prime is 33210012000029. The reversal of 33210012000000 is 21001233.

It is a happy number.

It is a super-2 number, since 2×33210012000000² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 33210012000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 328811999950 + ... + 328812000050.

It is an arithmetic number, because the mean of its divisors is an integer number (62824820832).

Almost surely, 2^{33210012000000} is an apocalyptic number.

33210012000000 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 33210012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63327419398656).

33210012000000 is an abundant number, since it is smaller than the sum of its proper divisors (93444826797312).

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

33210012000000 is an equidigital number, since it uses as much as digits as its factorization.

33210012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 222 counting only the distinct ones).

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

Adding to 33210012000000 its reverse (21001233), we get a palindrome (33210033001233).

The spelling of 33210012000000 in words is "thirty-three trillion, two hundred ten billion, twelve million", and thus it is an aban number.