1000122211200 has 1536 divisors, whose sum is σ = 4150405785600. Its totient is φ = 206644838400.

The previous prime is 1000122211169. The next prime is 1000122211237. The reversal of 1000122211200 is 21122210001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2375586990 + ... + 2375587410.

It is an arithmetic number, because the mean of its divisors is an integer number (2702087100).

Almost surely, 2^{1000122211200} is an apocalyptic number.

1000122211200 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 1000122211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075202892800).

1000122211200 is an abundant number, since it is smaller than the sum of its proper divisors (3150283574400).

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

1000122211200 is a wasteful number, since it uses less digits than its factorization.

1000122211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000122211200 its reverse (21122210001), we get a palindrome (1021244421201).

The spelling of 1000122211200 in words is "one trillion, one hundred twenty-two million, two hundred eleven thousand, two hundred".