112202122001200 has 1920 divisors, whose sum is σ = 369000382464000. Its totient is φ = 31729065984000.

The previous prime is 112202122001161. The next prime is 112202122001273. The reversal of 112202122001200 is 2100221202211.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 563829758701 + ... + 563829758899.

It is an arithmetic number, because the mean of its divisors is an integer number (192187699200).

Almost surely, 2^{112202122001200} is an apocalyptic number.

112202122001200 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 112202122001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184500191232000).

112202122001200 is an abundant number, since it is smaller than the sum of its proper divisors (256798260462800).

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

112202122001200 is a wasteful number, since it uses less digits than its factorization.

112202122001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

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

Adding to 112202122001200 its reverse (2100221202211), we get a palindrome (114302343203411).

The spelling of 112202122001200 in words is "one hundred twelve trillion, two hundred two billion, one hundred twenty-two million, one thousand, two hundred".