1011211221200 has 30 divisors (see below), whose sum is σ = 2429434959894. Its totient is φ = 404484488320.

The previous prime is 1011211221191. The next prime is 1011211221217. The reversal of 1011211221200 is 21221121101.

1011211221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 129813207616 + 881398013584 = 360296^2 + 938828^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1264013627 + ... + 1264014426.

Almost surely, 2^{1011211221200} is an apocalyptic number.

1011211221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011211221200 is an abundant number, since it is smaller than the sum of its proper divisors (1418223738694).

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

1011211221200 is a wasteful number, since it uses less digits than its factorization.

1011211221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528028071 (or 2528028060 counting only the distinct ones).

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

Adding to 1011211221200 its reverse (21221121101), we get a palindrome (1032432342301).

The spelling of 1011211221200 in words is "one trillion, eleven billion, two hundred eleven million, two hundred twenty-one thousand, two hundred".