1100211121200 has 240 divisors, whose sum is σ = 3592612486656. Its totient is φ = 287711923200.

The previous prime is 1100211121193. The next prime is 1100211121277. The reversal of 1100211121200 is 21211120011.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1100211121200² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 210322585 + ... + 210327815.

Almost surely, 2^{1100211121200} is an apocalyptic number.

1100211121200 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 1100211121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796306243328).

1100211121200 is an abundant number, since it is smaller than the sum of its proper divisors (2492401365456).

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

1100211121200 is a wasteful number, since it uses less digits than its factorization.

1100211121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8612 (or 8601 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1100211121200 its reverse (21211120011), we get a palindrome (1121422241211).

The spelling of 1100211121200 in words is "one trillion, one hundred billion, two hundred eleven million, one hundred twenty-one thousand, two hundred".