212513240000 has 70 divisors (see below), whose sum is σ = 526963867584. Its totient is φ = 85005280000.

The previous prime is 212513239943. The next prime is 212513240003. The reversal of 212513240000 is 42315212.

212513240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212513240003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 2616416 + ... + 2696415.

Almost surely, 2^212513240000 is an apocalyptic number.

212513240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212513240000 is an abundant number, since it is smaller than the sum of its proper divisors (314450627584).

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

212513240000 is an frugal number, since it uses more digits than its factorization.

212513240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312863 (or 5312838 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 212513240000 its reverse (42315212), we get a palindrome (212555555212).

The spelling of 212513240000 in words is "two hundred twelve billion, five hundred thirteen million, two hundred forty thousand".