10000120320000 has 1560 divisors, whose sum is σ = 38225809125504. Its totient is φ = 2513043456000.

The previous prime is 10000120319999. The next prime is 10000120320037. The reversal of 10000120320000 is 2302100001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 59880959917 + ... + 59880960083.

Almost surely, 2^{10000120320000} is an apocalyptic number.

10000120320000 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 10000120320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19112904562752).

10000120320000 is an abundant number, since it is smaller than the sum of its proper divisors (28225688805504).

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

10000120320000 is a wasteful number, since it uses less digits than its factorization.

10000120320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 313 counting only the distinct ones).

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

Adding to 10000120320000 its reverse (2302100001), we get a palindrome (10002422420001).

The spelling of 10000120320000 in words is "ten trillion, one hundred twenty million, three hundred twenty thousand".