1221112101200 has 60 divisors (see below), whose sum is σ = 3106293712380. Its totient is φ = 459712788480.

The previous prime is 1221112101199. The next prime is 1221112101271. The reversal of 1221112101200 is 21012111221.

It can be written as a sum of positive squares in 6 ways, for example, as 9712496704 + 1211399604496 = 98552^2 + 1100636^2 .

It is a super-2 number, since 2×1221112101200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89780855 + ... + 89794454.

It is an arithmetic number, because the mean of its divisors is an integer number (51771561873).

Almost surely, 2^{1221112101200} is an apocalyptic number.

1221112101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221112101200 is an abundant number, since it is smaller than the sum of its proper divisors (1885181611180).

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

1221112101200 is a wasteful number, since it uses less digits than its factorization.

1221112101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179575344 (or 179575333 counting only the distinct ones).

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

Adding to 1221112101200 its reverse (21012111221), we get a palindrome (1242124212421).

The spelling of 1221112101200 in words is "one trillion, two hundred twenty-one billion, one hundred twelve million, one hundred one thousand, two hundred".