33012123330 has 96 divisors (see below), whose sum is σ = 83293479360. Its totient is φ = 8372721280.

The previous prime is 33012123329. The next prime is 33012123373. The reversal of 33012123330 is 3332121033.

It is a junction number, because it is equal to n+sod(n) for n = 33012123297 and 33012123306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2834920 + ... + 2846540.

It is an arithmetic number, because the mean of its divisors is an integer number (867640410).

Almost surely, 2^33012123330 is an apocalyptic number.

33012123330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33012123330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41646739680).

33012123330 is an abundant number, since it is smaller than the sum of its proper divisors (50281356030).

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

33012123330 is a wasteful number, since it uses less digits than its factorization.

33012123330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11856 (or 11833 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 33012123330 its reverse (3332121033), we get a palindrome (36344244363).

The spelling of 33012123330 in words is "thirty-three billion, twelve million, one hundred twenty-three thousand, three hundred thirty".