1221221111112 has 192 divisors, whose sum is σ = 3474504184320. Its totient is φ = 387045195264.

The previous prime is 1221221111111. The next prime is 1221221111153. The reversal of 1221221111112 is 2111111221221.

It is a happy number.

1221221111112 is a `hidden beast` number, since 1 + 221 + 221 + 111 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1221221111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84758613 + ... + 84773019.

It is an arithmetic number, because the mean of its divisors is an integer number (18096375960).

Almost surely, 2^{1221221111112} is an apocalyptic number.

1221221111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221221111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737252092160).

1221221111112 is an abundant number, since it is smaller than the sum of its proper divisors (2253283073208).

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

1221221111112 is a wasteful number, since it uses less digits than its factorization.

1221221111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15180 (or 15173 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 1221221111112 its reverse (2111111221221), we get a palindrome (3332332332333).

The spelling of 1221221111112 in words is "one trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twelve".