1022122211200 has 96 divisors (see below), whose sum is σ = 2531556898560. Its totient is φ = 407780904960.

The previous prime is 1022122211191. The next prime is 1022122211219. The reversal of 1022122211200 is 21122212201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 808612 + ... + 1642588.

It is an arithmetic number, because the mean of its divisors is an integer number (26370384360).

Almost surely, 2^{1022122211200} is an apocalyptic number.

1022122211200 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 1022122211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265778449280).

1022122211200 is an abundant number, since it is smaller than the sum of its proper divisors (1509434687360).

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

1022122211200 is an equidigital number, since it uses as much as digits as its factorization.

1022122211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834384 (or 834367 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1022122211200 its reverse (21122212201), we get a palindrome (1043244423401).

The spelling of 1022122211200 in words is "one trillion, twenty-two billion, one hundred twenty-two million, two hundred eleven thousand, two hundred".