11200120020012 has 288 divisors, whose sum is σ = 33521928846336. Its totient is φ = 2848301660160.

The previous prime is 11200120019947. The next prime is 11200120020101. The reversal of 11200120020012 is 21002002100211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11200120020012.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101595073 + ... + 101705255.

It is an arithmetic number, because the mean of its divisors is an integer number (116395586272).

Almost surely, 2^{11200120020012} is an apocalyptic number.

11200120020012 is a gapful number since it is divisible by the number (12) 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 11200120020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16760964423168).

11200120020012 is an abundant number, since it is smaller than the sum of its proper divisors (22321808826324).

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

11200120020012 is a wasteful number, since it uses less digits than its factorization.

11200120020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110429 (or 110416 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11200120020012 its reverse (21002002100211), we get a palindrome (32202122120223).

The spelling of 11200120020012 in words is "eleven trillion, two hundred billion, one hundred twenty million, twenty thousand, twelve".