11120120101200 has 480 divisors, whose sum is σ = 38996473923072. Its totient is φ = 2686323456000.

The previous prime is 11120120101193. The next prime is 11120120101217. The reversal of 11120120101200 is 210102102111.

11120120101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11120120101200² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 5956142667 + ... + 5956144533.

Almost surely, 2^{11120120101200} is an apocalyptic number.

11120120101200 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 11120120101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498236961536).

11120120101200 is an abundant number, since it is smaller than the sum of its proper divisors (27876353821872).

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

11120120101200 is a wasteful number, since it uses less digits than its factorization.

11120120101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11120120101200 its reverse (210102102111), we get a palindrome (11330222203311).

The spelling of 11120120101200 in words is "eleven trillion, one hundred twenty billion, one hundred twenty million, one hundred one thousand, two hundred".