10033205431212 has 96 divisors (see below), whose sum is σ = 27470258323200. Its totient is φ = 3158060006016.

The previous prime is 10033205431163. The next prime is 10033205431213. The reversal of 10033205431212 is 21213450233001.

10033205431212 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 3 + 205 + 431 + 21 + 2 = 666.

It is a super-2 number, since 2×10033205431212² (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 not an unprimeable number, because it can be changed into a prime (10033205431213) 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 31 ways as a sum of consecutive naturals, for example, 7333353 + ... + 8593280.

It is an arithmetic number, because the mean of its divisors is an integer number (286148524200).

Almost surely, 2^{10033205431212} is an apocalyptic number.

10033205431212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10033205431212 is an abundant number, since it is smaller than the sum of its proper divisors (17437052891988).

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

10033205431212 is a wasteful number, since it uses less digits than its factorization.

10033205431212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15926972 (or 15926964 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10033205431212 its reverse (21213450233001), we get a palindrome (31246655664213).

The spelling of 10033205431212 in words is "ten trillion, thirty-three billion, two hundred five million, four hundred thirty-one thousand, two hundred twelve".