12233331012100 has 36 divisors (see below), whose sum is σ = 28959630871248. Its totient is φ = 4448484004000.

The previous prime is 12233331012059. The next prime is 12233331012109. The reversal of 12233331012100 is 121013333221.

It is a super-3 number, since 3×12233331012100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (12233331012109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5560603906 + ... + 5560606105.

It is an arithmetic number, because the mean of its divisors is an integer number (804434190868).

Almost surely, 2^{12233331012100} is an apocalyptic number.

12233331012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12233331012100 is an abundant number, since it is smaller than the sum of its proper divisors (16726299859148).

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

12233331012100 is a wasteful number, since it uses less digits than its factorization.

12233331012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11121210036 (or 11121210029 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12233331012100 its reverse (121013333221), we get a palindrome (12354344345321).

The spelling of 12233331012100 in words is "twelve trillion, two hundred thirty-three billion, three hundred thirty-one million, twelve thousand, one hundred".