1211010011200 has 126 divisors (see below), whose sum is σ = 3275363504378. Its totient is φ = 440367206400.

The previous prime is 1211010011191. The next prime is 1211010011213. The reversal of 1211010011200 is 21100101121.

It can be written as a sum of positive squares in 3 ways, for example, as 295666237504 + 915343773696 = 543752^2 + 956736^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2934009 + ... + 3321208.

Almost surely, 2^{1211010011200} is an apocalyptic number.

1211010011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211010011200 is an abundant number, since it is smaller than the sum of its proper divisors (2064353493178).

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

1211010011200 is a wasteful number, since it uses less digits than its factorization.

1211010011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6255261 (or 6255235 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1211010011200 its reverse (21100101121), we get a palindrome (1232110112321).

The spelling of 1211010011200 in words is "one trillion, two hundred eleven billion, ten million, eleven thousand, two hundred".