10120320322120 has 64 divisors (see below), whose sum is σ = 23219680339440. Its totient is φ = 3968440320000.

The previous prime is 10120320322097. The next prime is 10120320322181. The reversal of 10120320322120 is 2122302302101.

It can be written as a sum of positive squares in 8 ways, for example, as 4359485091844 + 5760835230276 = 2087938^2 + 2400174^2 .

It is a super-2 number, since 2×10120320322120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558720 + ... + 4533520.

Almost surely, 2^{10120320322120} is an apocalyptic number.

10120320322120 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 10120320322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11609840169720).

10120320322120 is an abundant number, since it is smaller than the sum of its proper divisors (13099360017320).

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

10120320322120 is a wasteful number, since it uses less digits than its factorization.

10120320322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976066 (or 3976062 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10120320322120 its reverse (2122302302101), we get a palindrome (12242622624221).

The spelling of 10120320322120 in words is "ten trillion, one hundred twenty billion, three hundred twenty million, three hundred twenty-two thousand, one hundred twenty".