10120011340 has 48 divisors (see below), whose sum is σ = 21907972800. Its totient is φ = 3923880192.

The previous prime is 10120011337. The next prime is 10120011353. The reversal of 10120011340 is 4311002101.

10120011340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10120011340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173641 + ... + 224479.

It is an arithmetic number, because the mean of its divisors is an integer number (456416100).

Almost surely, 2^10120011340 is an apocalyptic number.

10120011340 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 10120011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10953986400).

10120011340 is an abundant number, since it is smaller than the sum of its proper divisors (11787961460).

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

10120011340 is a wasteful number, since it uses less digits than its factorization.

10120011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51154 (or 51152 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10120011340 its reverse (4311002101), we get a palindrome (14431013441).

The spelling of 10120011340 in words is "ten billion, one hundred twenty million, eleven thousand, three hundred forty".