10320002112 has 336 divisors, whose sum is σ = 34066154880. Its totient is φ = 2742018048.

The previous prime is 10320002101. The next prime is 10320002123. The reversal of 10320002112 is 21120002301.

It is an interprime number because it is at equal distance from previous prime (10320002101) and next prime (10320002123).

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 8005564 + ... + 8006852.

Almost surely, 2^10320002112 is an apocalyptic number.

10320002112 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 10320002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17033077440).

10320002112 is an abundant number, since it is smaller than the sum of its proper divisors (23746152768).

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

10320002112 is a wasteful number, since it uses less digits than its factorization.

10320002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10320002112 its reverse (21120002301), we get a palindrome (31440004413).

The spelling of 10320002112 in words is "ten billion, three hundred twenty million, two thousand, one hundred twelve".