212220202001200 has 120 divisors (see below), whose sum is σ = 532078765092000. Its totient is φ = 81189366804480.

The previous prime is 212220202001113. The next prime is 212220202001209. The reversal of 212220202001200 is 2100202022212.

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

It is not an unprimeable number, because it can be changed into a prime (212220202001209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93537826 + ... + 95779774.

It is an arithmetic number, because the mean of its divisors is an integer number (4433989709100).

Almost surely, 2^{212220202001200} is an apocalyptic number.

212220202001200 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 212220202001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266039382546000).

212220202001200 is an abundant number, since it is smaller than the sum of its proper divisors (319858563090800).

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

212220202001200 is a wasteful number, since it uses less digits than its factorization.

212220202001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252279 (or 2252268 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212220202001200 its reverse (2100202022212), we get a palindrome (214320404023412).

The spelling of 212220202001200 in words is "two hundred twelve trillion, two hundred twenty billion, two hundred two million, one thousand, two hundred".