1211112211200 has 216 divisors, whose sum is σ = 3998300082000. Its totient is φ = 322851962880.

The previous prime is 1211112211187. The next prime is 1211112211219. The reversal of 1211112211200 is 21122111121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1211112211200.

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, 66211656 + ... + 66229944.

Almost surely, 2^{1211112211200} is an apocalyptic number.

1211112211200 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 1211112211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999150041000).

1211112211200 is an abundant number, since it is smaller than the sum of its proper divisors (2787187870800).

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

1211112211200 is a wasteful number, since it uses less digits than its factorization.

1211112211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21767 (or 21748 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1211112211200 its reverse (21122111121), we get a palindrome (1232234322321).

The spelling of 1211112211200 in words is "one trillion, two hundred eleven billion, one hundred twelve million, two hundred eleven thousand, two hundred".