212132002320 has 480 divisors, whose sum is σ = 847696791552. Its totient is φ = 46527602688.

The previous prime is 212132002231. The next prime is 212132002321. The reversal of 212132002320 is 23200231212.

212132002320 is a `hidden beast` number, since 2 + 1 + 21 + 320 + 0 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212132002293 and 212132002302.

It is not an unprimeable number, because it can be changed into a prime (212132002321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13605249 + ... + 13620831.

Almost surely, 2^212132002320 is an apocalyptic number.

212132002320 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 212132002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423848395776).

212132002320 is an abundant number, since it is smaller than the sum of its proper divisors (635564789232).

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

212132002320 is a wasteful number, since it uses less digits than its factorization.

212132002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15719 (or 15710 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212132002320 its reverse (23200231212), we get a palindrome (235332233532).

The spelling of 212132002320 in words is "two hundred twelve billion, one hundred thirty-two million, two thousand, three hundred twenty".