11120012130000 has 400 divisors, whose sum is σ = 36313827105600. Its totient is φ = 2930995200000.

The previous prime is 11120012129971. The next prime is 11120012130001. The reversal of 11120012130000 is 3121002111.

11120012130000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120012130001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1996767216 + ... + 1996772784.

It is an arithmetic number, because the mean of its divisors is an integer number (90784567764).

Almost surely, 2^{11120012130000} is an apocalyptic number.

11120012130000 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 11120012130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18156913552800).

11120012130000 is an abundant number, since it is smaller than the sum of its proper divisors (25193814975600).

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

11120012130000 is a wasteful number, since it uses less digits than its factorization.

11120012130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6360 (or 6339 counting only the distinct ones).

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

Adding to 11120012130000 its reverse (3121002111), we get a palindrome (11123133132111).

The spelling of 11120012130000 in words is "eleven trillion, one hundred twenty billion, twelve million, one hundred thirty thousand".