11121200113120 has 48 divisors (see below), whose sum is σ = 26274060173088. Its totient is φ = 4448441966080.

The previous prime is 11121200113103. The next prime is 11121200113171. The reversal of 11121200113120 is 2131100212111.

It is a happy number.

11121200113120 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-3 number, since 3×11121200113120³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11121200113094 and 11121200113103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25329702 + ... + 25765018.

It is an arithmetic number, because the mean of its divisors is an integer number (547376253606).

Almost surely, 2^{11121200113120} is an apocalyptic number.

11121200113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121200113120 is an abundant number, since it is smaller than the sum of its proper divisors (15152860059968).

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

11121200113120 is a wasteful number, since it uses less digits than its factorization.

11121200113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595003 (or 594995 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 11121200113120 its reverse (2131100212111), we get a palindrome (13252300325231).

The spelling of 11121200113120 in words is "eleven trillion, one hundred twenty-one billion, two hundred million, one hundred thirteen thousand, one hundred twenty".