10032312000000 has 1120 divisors, whose sum is σ = 35998909208064. Its totient is φ = 2473574400000.

The previous prime is 10032311999999. The next prime is 10032312000001. The reversal of 10032312000000 is 21323001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10032311999999) and next prime (10032312000001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10032312000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032312000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27335999817 + ... + 27336000183.

Almost surely, 2^{10032312000000} is an apocalyptic number.

10032312000000 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 10032312000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17999454604032).

10032312000000 is an abundant number, since it is smaller than the sum of its proper divisors (25966597208064).

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

10032312000000 is an frugal number, since it uses more digits than its factorization.

10032312000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10032312000000 its reverse (21323001), we get a palindrome (10032333323001).

The spelling of 10032312000000 in words is "ten trillion, thirty-two billion, three hundred twelve million", and thus it is an aban number.