10320120000 has 420 divisors, whose sum is σ = 37445076240. Its totient is φ = 2716416000.

The previous prime is 10320119993. The next prime is 10320120017. The reversal of 10320120000 is 2102301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39239869 + ... + 39240131.

Almost surely, 2^10320120000 is an apocalyptic number.

10320120000 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 10320120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18722538120).

10320120000 is an abundant number, since it is smaller than the sum of its proper divisors (27124956240).

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

10320120000 is a wasteful number, since it uses less digits than its factorization.

10320120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10320120000 its reverse (2102301), we get a palindrome (10322222301).

It can be divided in two parts, 103201 and 20000, that added together give a square (123201 = 351²).

The spelling of 10320120000 in words is "ten billion, three hundred twenty million, one hundred twenty thousand".