1112000101200 has 180 divisors, whose sum is σ = 3866362573788. Its totient is φ = 295963699200.

The previous prime is 1112000101133. The next prime is 1112000101211. The reversal of 1112000101200 is 21010002111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 197253233424 + 914746867776 = 444132^2 + 956424^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1579162 + ... + 2172038.

Almost surely, 2^{1112000101200} is an apocalyptic number.

1112000101200 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 1112000101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933181286894).

1112000101200 is an abundant number, since it is smaller than the sum of its proper divisors (2754362472588).

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

1112000101200 is a wasteful number, since it uses less digits than its factorization.

1112000101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593422 (or 593408 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1112000101200 its reverse (21010002111), we get a palindrome (1133010103311).

The spelling of 1112000101200 in words is "one trillion, one hundred twelve billion, one hundred one thousand, two hundred".