201212021202200 has 96 divisors (see below), whose sum is σ = 470207478232800. Its totient is φ = 80074502799360.

The previous prime is 201212021202193. The next prime is 201212021202317. The reversal of 201212021202200 is 2202120212102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37962194 + ... + 42936606.

It is an arithmetic number, because the mean of its divisors is an integer number (4897994564925).

Almost surely, 2^{201212021202200} is an apocalyptic number.

201212021202200 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 201212021202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235103739116400).

201212021202200 is an abundant number, since it is smaller than the sum of its proper divisors (268995457030600).

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

201212021202200 is a wasteful number, since it uses less digits than its factorization.

201212021202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975461 (or 4975452 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 201212021202200 its reverse (2202120212102), we get a palindrome (203414141414302).

The spelling of 201212021202200 in words is "two hundred one trillion, two hundred twelve billion, twenty-one million, two hundred two thousand, two hundred".