212200020001200 has 480 divisors, whose sum is σ = 851736028262400. Its totient is φ = 43871931417600.

The previous prime is 212200020001199. The next prime is 212200020001201. The reversal of 212200020001200 is 2100020002212.

It is an interprime number because it is at equal distance from previous prime (212200020001199) and next prime (212200020001201).

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

It is not an unprimeable number, because it can be changed into a prime (212200020001201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12617407 + ... + 24157793.

It is an arithmetic number, because the mean of its divisors is an integer number (1774450058880).

Almost surely, 2^{212200020001200} is an apocalyptic number.

212200020001200 is a gapful number since it is divisible by the number (20) 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 212200020001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425868014131200).

212200020001200 is an abundant number, since it is smaller than the sum of its proper divisors (639536008261200).

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

212200020001200 is a wasteful number, since it uses less digits than its factorization.

212200020001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11540625 (or 11540614 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212200020001200 its reverse (2100020002212), we get a palindrome (214300040003412).

The spelling of 212200020001200 in words is "two hundred twelve trillion, two hundred billion, twenty million, one thousand, two hundred".