11303120100000 has 288 divisors, whose sum is σ = 37331741365632. Its totient is φ = 2994192000000.

The previous prime is 11303120099951. The next prime is 11303120100049. The reversal of 11303120100000 is 102130311.

11303120100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11303120099951) and next prime (11303120100049).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45175242 + ... + 45424758.

It is an arithmetic number, because the mean of its divisors is an integer number (129624101964).

Almost surely, 2^{11303120100000} is an apocalyptic number.

11303120100000 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 11303120100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665870682816).

11303120100000 is an abundant number, since it is smaller than the sum of its proper divisors (26028621265632).

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

11303120100000 is an equidigital number, since it uses as much as digits as its factorization.

11303120100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249706 (or 249678 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11303120100000 its reverse (102130311), we get a palindrome (11303222230311).

The spelling of 11303120100000 in words is "eleven trillion, three hundred three billion, one hundred twenty million, one hundred thousand".