1221121122000 has 640 divisors, whose sum is σ = 4362260797440. Its totient is φ = 291962880000.

The previous prime is 1221121121947. The next prime is 1221121122007. The reversal of 1221121122000 is 2211211221.

It is a super-2 number, since 2×1221121122000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221121122007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 866657296 + ... + 866658704.

It is an arithmetic number, because the mean of its divisors is an integer number (6816032496).

Almost surely, 2^{1221121122000} is an apocalyptic number.

1221121122000 is a gapful number since it is divisible by the number (10) 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 1221121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181130398720).

1221121122000 is an abundant number, since it is smaller than the sum of its proper divisors (3141139675440).

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

1221121122000 is a wasteful number, since it uses less digits than its factorization.

1221121122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1221121122000 its reverse (2211211221), we get a palindrome (1223332333221).

The spelling of 1221121122000 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand".