1022111121200 has 180 divisors, whose sum is σ = 2815463926008. Its totient is φ = 355194777600.

The previous prime is 1022111121197. The next prime is 1022111121253. The reversal of 1022111121200 is 21211112201.

It is a super-2 number, since 2×1022111121200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 704495 + ... + 1593905.

Almost surely, 2^{1022111121200} is an apocalyptic number.

1022111121200 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 1022111121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407731963004).

1022111121200 is an abundant number, since it is smaller than the sum of its proper divisors (1793352804808).

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

1022111121200 is a wasteful number, since it uses less digits than its factorization.

1022111121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889472 (or 889448 counting only the distinct ones).

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

Adding to 1022111121200 its reverse (21211112201), we get a palindrome (1043322233401).

The spelling of 1022111121200 in words is "one trillion, twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, two hundred".