1011212211200 has 132 divisors (see below), whose sum is σ = 2515648441692. Its totient is φ = 403021824000.

The previous prime is 1011212211167. The next prime is 1011212211203. The reversal of 1011212211200 is 21122121101.

It can be written as a sum of positive squares in 6 ways, for example, as 431309824 + 1010780901376 = 20768^2 + 1005376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011212211203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7019900 + ... + 7162500.

Almost surely, 2^{1011212211200} is an apocalyptic number.

1011212211200 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 1011212211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257824220846).

1011212211200 is an abundant number, since it is smaller than the sum of its proper divisors (1504436230492).

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

1011212211200 is a wasteful number, since it uses less digits than its factorization.

1011212211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142908 (or 142885 counting only the distinct ones).

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

Adding to 1011212211200 its reverse (21122121101), we get a palindrome (1032334332301).

Subtracting from 1011212211200 its reverse (21122121101), we obtain a palindrome (990090090099).

The spelling of 1011212211200 in words is "one trillion, eleven billion, two hundred twelve million, two hundred eleven thousand, two hundred".