12233213333100 has 756 divisors, whose sum is σ = 42429921965704. Its totient is φ = 3059409346560.

The previous prime is 12233213333053. The next prime is 12233213333113. The reversal of 12233213333100 is 133331233221.

12233213333100 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 321 + 3 + 3 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×12233213333100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 251 ways as a sum of consecutive naturals, for example, 7099948839 + ... + 7099950561.

Almost surely, 2^{12233213333100} is an apocalyptic number.

12233213333100 is a gapful number since it is divisible by the number (10) 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 12233213333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21214960982852).

12233213333100 is an abundant number, since it is smaller than the sum of its proper divisors (30196708632604).

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

12233213333100 is a wasteful number, since it uses less digits than its factorization.

12233213333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12233213333100 its reverse (133331233221), we get a palindrome (12366544566321).

The spelling of 12233213333100 in words is "twelve trillion, two hundred thirty-three billion, two hundred thirteen million, three hundred thirty-three thousand, one hundred".