12000031033100 has 144 divisors (see below), whose sum is σ = 29665489787136. Its totient is φ = 4170679392000.

The previous prime is 12000031033097. The next prime is 12000031033139. The reversal of 12000031033100 is 133013000021.

It is a super-2 number, since 2×12000031033100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32478602 + ... + 32845998.

It is an arithmetic number, because the mean of its divisors is an integer number (206010345744).

Almost surely, 2^{12000031033100} is an apocalyptic number.

12000031033100 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 12000031033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14832744893568).

12000031033100 is an abundant number, since it is smaller than the sum of its proper divisors (17665458754036).

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

12000031033100 is a wasteful number, since it uses less digits than its factorization.

12000031033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368736 (or 368729 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 12000031033100 its reverse (133013000021), we get a palindrome (12133044033121).

The spelling of 12000031033100 in words is "twelve trillion, thirty-one million, thirty-three thousand, one hundred".