11111201112000 has 448 divisors, whose sum is σ = 40779798478848. Its totient is φ = 2642798080000.

The previous prime is 11111201111977. The next prime is 11111201112017. The reversal of 11111201112000 is 21110211111.

11111201112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13594945 + ... + 14389055.

Almost surely, 2^{11111201112000} is an apocalyptic number.

11111201112000 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 11111201112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20389899239424).

11111201112000 is an abundant number, since it is smaller than the sum of its proper divisors (29668597366848).

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

11111201112000 is a wasteful number, since it uses less digits than its factorization.

11111201112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794205 (or 794185 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11111201112000 its reverse (21110211111), we get a palindrome (11132311323111).

The spelling of 11111201112000 in words is "eleven trillion, one hundred eleven billion, two hundred one million, one hundred twelve thousand".