1122012111200 has 144 divisors (see below), whose sum is σ = 2834513423280. Its totient is φ = 433183672320.

The previous prime is 1122012111131. The next prime is 1122012111251. The reversal of 1122012111200 is 21112102211.

It is a super-2 number, since 2×1122012111200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91564274 + ... + 91576526.

It is an arithmetic number, because the mean of its divisors is an integer number (19684120995).

Almost surely, 2^{1122012111200} is an apocalyptic number.

1122012111200 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 1122012111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417256711640).

1122012111200 is an abundant number, since it is smaller than the sum of its proper divisors (1712501312080).

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

1122012111200 is a wasteful number, since it uses less digits than its factorization.

1122012111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16249 (or 16236 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1122012111200 its reverse (21112102211), we get a palindrome (1143124213411).

The spelling of 1122012111200 in words is "one trillion, one hundred twenty-two billion, twelve million, one hundred eleven thousand, two hundred".