212001300000 has 720 divisors, whose sum is σ = 890881104960. Its totient is φ = 48444480000.

The previous prime is 212001299999. The next prime is 212001300029. The reversal of 212001300000 is 3100212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56698131 + ... + 56701869.

It is an arithmetic number, because the mean of its divisors is an integer number (1237334868).

Almost surely, 2^212001300000 is an apocalyptic number.

212001300000 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 212001300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445440552480).

212001300000 is an abundant number, since it is smaller than the sum of its proper divisors (678879804960).

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

212001300000 is an frugal number, since it uses more digits than its factorization.

212001300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 212001300000 its reverse (3100212), we get a palindrome (212004400212).

The spelling of 212001300000 in words is "two hundred twelve billion, one million, three hundred thousand".