1221211011200 has 96 divisors (see below), whose sum is σ = 3017132843520. Its totient is φ = 488426112000.

The previous prime is 1221211011199. The next prime is 1221211011227. The reversal of 1221211011200 is 21101121221.

It is a super-2 number, since 2×1221211011200² (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 35409965 + ... + 35444435.

It is an arithmetic number, because the mean of its divisors is an integer number (31428467120).

Almost surely, 2^{1221211011200} is an apocalyptic number.

1221211011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221211011200 is an abundant number, since it is smaller than the sum of its proper divisors (1795921832320).

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

1221211011200 is a wasteful number, since it uses less digits than its factorization.

1221211011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45566 (or 45549 counting only the distinct ones).

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

Adding to 1221211011200 its reverse (21101121221), we get a palindrome (1242312132421).

It can be divided in two parts, 12 and 21211011200, that added together give a palindrome (21211011212).

The spelling of 1221211011200 in words is "one trillion, two hundred twenty-one billion, two hundred eleven million, eleven thousand, two hundred".