11142300120 has 256 divisors, whose sum is σ = 39239424000. Its totient is φ = 2529999360.

The previous prime is 11142300119. The next prime is 11142300149. The reversal of 11142300120 is 2100324111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11142300120.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 6872910 + ... + 6874530.

It is an arithmetic number, because the mean of its divisors is an integer number (153279000).

Almost surely, 2^11142300120 is an apocalyptic number.

11142300120 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 11142300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19619712000).

11142300120 is an abundant number, since it is smaller than the sum of its proper divisors (28097123880).

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

11142300120 is a wasteful number, since it uses less digits than its factorization.

11142300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11142300120 its reverse (2100324111), we get a palindrome (13242624231).

The spelling of 11142300120 in words is "eleven billion, one hundred forty-two million, three hundred thousand, one hundred twenty".