1211011011200 has 96 divisors (see below), whose sum is σ = 3022417399260. Its totient is φ = 479410421760.

The previous prime is 1211011011151. The next prime is 1211011011241. The reversal of 1211011011200 is 21101101121.

It can be written as a sum of positive squares in 6 ways, for example, as 83965493824 + 1127045517376 = 289768^2 + 1061624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1640327 + ... + 2261126.

Almost surely, 2^{1211011011200} is an apocalyptic number.

1211011011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211011011200 is an abundant number, since it is smaller than the sum of its proper divisors (1811406388060).

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

1211011011200 is an equidigital number, since it uses as much as digits as its factorization.

1211011011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901574 (or 3901557 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1211011011200 its reverse (21101101121), we get a palindrome (1232112112321).

The spelling of 1211011011200 in words is "one trillion, two hundred eleven billion, eleven million, eleven thousand, two hundred".