212011213200 has 240 divisors, whose sum is σ = 698318138112. Its totient is φ = 54950400000.

The previous prime is 212011213151. The next prime is 212011213277. The reversal of 212011213200 is 2312110212.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212011213200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13325250 + ... + 13341150.

Almost surely, 2^212011213200 is an apocalyptic number.

212011213200 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 212011213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349159069056).

212011213200 is an abundant number, since it is smaller than the sum of its proper divisors (486306924912).

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

212011213200 is a wasteful number, since it uses less digits than its factorization.

212011213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16234 (or 16223 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212011213200 its reverse (2312110212), we get a palindrome (214323323412).

It can be divided in two parts, 2120112 and 13200, that added together give a palindrome (2133312).

The spelling of 212011213200 in words is "two hundred twelve billion, eleven million, two hundred thirteen thousand, two hundred".