10032312000 has 448 divisors, whose sum is σ = 35695835136. Its totient is φ = 2473574400.

The previous prime is 10032311987. The next prime is 10032312013. The reversal of 10032312000 is 21323001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10032311987) and next prime (10032312013).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27335817 + ... + 27336183.

Almost surely, 2^10032312000 is an apocalyptic number.

10032312000 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 10032312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17847917568).

10032312000 is an abundant number, since it is smaller than the sum of its proper divisors (25663523136).

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

10032312000 is a wasteful number, since it uses less digits than its factorization.

10032312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 461 counting only the distinct ones).

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

Adding to 10032312000 its reverse (21323001), we get a palindrome (10053635001).

The spelling of 10032312000 in words is "ten billion, thirty-two million, three hundred twelve thousand".