312033000101232 has 160 divisors (see below), whose sum is σ = 867296582323200. Its totient is φ = 96653551967232.

The previous prime is 312033000101231. The next prime is 312033000101293. The reversal of 312033000101232 is 232101000330213.

It is a junction number, because it is equal to n+sod(n) for n = 312033000101199 and 312033000101208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312033000101231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10255663 + ... + 27004529.

It is an arithmetic number, because the mean of its divisors is an integer number (5420603639520).

Almost surely, 2^{312033000101232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312033000101232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433648291161600).

312033000101232 is an abundant number, since it is smaller than the sum of its proper divisors (555263582221968).

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

312033000101232 is a wasteful number, since it uses less digits than its factorization.

312033000101232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16749008 (or 16748968 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312033000101232 its reverse (232101000330213), we get a palindrome (544134000431445).

The spelling of 312033000101232 in words is "three hundred twelve trillion, thirty-three billion, one hundred one thousand, two hundred thirty-two".