1221121121112 has 96 divisors (see below), whose sum is σ = 3347646382080. Its totient is φ = 402064486080.

The previous prime is 1221121121071. The next prime is 1221121121147. The reversal of 1221121121112 is 2111211211221.

It is a happy number.

It is a super-2 number, since 2×1221121121112² (a number of 25 digits) contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41285353 + ... + 41314919.

It is an arithmetic number, because the mean of its divisors is an integer number (34871316480).

Almost surely, 2^{1221121121112} is an apocalyptic number.

1221121121112 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 1221121121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673823191040).

1221121121112 is an abundant number, since it is smaller than the sum of its proper divisors (2126525260968).

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

1221121121112 is a wasteful number, since it uses less digits than its factorization.

1221121121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36573 (or 36566 counting only the distinct ones).

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

Adding to 1221121121112 its reverse (2111211211221), we get a palindrome (3332332332333).

The spelling of 1221121121112 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twelve".