10012133233212 has 384 divisors, whose sum is σ = 26733304958976. Its totient is φ = 2890598400000.

The previous prime is 10012133233147. The next prime is 10012133233237. The reversal of 10012133233212 is 21233233121001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8133332637 + ... + 8133333867.

It is an arithmetic number, because the mean of its divisors is an integer number (69617981664).

Almost surely, 2^{10012133233212} is an apocalyptic number.

10012133233212 is a gapful number since it is divisible by the number (12) 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 10012133233212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366652479488).

10012133233212 is an abundant number, since it is smaller than the sum of its proper divisors (16721171725764).

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

10012133233212 is a wasteful number, since it uses less digits than its factorization.

10012133233212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10012133233212 its reverse (21233233121001), we get a palindrome (31245366354213).

It can be divided in two parts, 100121 and 33233212, that added together give a palindrome (33333333).

The spelling of 10012133233212 in words is "ten trillion, twelve billion, one hundred thirty-three million, two hundred thirty-three thousand, two hundred twelve".