111200121300000 has 576 divisors, whose sum is σ = 369089832988800. Its totient is φ = 29309952000000.

The previous prime is 111200121299947. The next prime is 111200121300013. The reversal of 111200121300000 is 3121002111.

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

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, 19967697216 + ... + 19967702784.

It is an arithmetic number, because the mean of its divisors is an integer number (640780960050).

Almost surely, 2^{111200121300000} is an apocalyptic number.

111200121300000 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 111200121300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184544916494400).

111200121300000 is an abundant number, since it is smaller than the sum of its proper divisors (257889711688800).

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

111200121300000 is an equidigital number, since it uses as much as digits as its factorization.

111200121300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6367 (or 6339 counting only the distinct ones).

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

Adding to 111200121300000 its reverse (3121002111), we get a palindrome (111203242302111).

The spelling of 111200121300000 in words is "one hundred eleven trillion, two hundred billion, one hundred twenty-one million, three hundred thousand".