12133032020010 has 192 divisors, whose sum is σ = 34828887510144. Its totient is φ = 2905959628800.

The previous prime is 12133032019973. The next prime is 12133032020041. The reversal of 12133032020010 is 1002023033121.

12133032020010 is a `hidden beast` number, since 1 + 2 + 1 + 330 + 320 + 2 + 0 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55299825 + ... + 55518795.

It is an arithmetic number, because the mean of its divisors is an integer number (181400455782).

Almost surely, 2^{12133032020010} is an apocalyptic number.

12133032020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133032020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17414443755072).

12133032020010 is an abundant number, since it is smaller than the sum of its proper divisors (22695855490134).

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

12133032020010 is a wasteful number, since it uses less digits than its factorization.

12133032020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219669 (or 219666 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12133032020010 its reverse (1002023033121), we get a palindrome (13135055053131).

The spelling of 12133032020010 in words is "twelve trillion, one hundred thirty-three billion, thirty-two million, twenty thousand, ten".