212007188720 has 80 divisors (see below), whose sum is σ = 498181194720. Its totient is φ = 83899487232.

The previous prime is 212007188669. The next prime is 212007188747. The reversal of 212007188720 is 27881700212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5937962 + ... + 5973558.

It is an arithmetic number, because the mean of its divisors is an integer number (6227264934).

Almost surely, 2^212007188720 is an apocalyptic number.

212007188720 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 212007188720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249090597360).

212007188720 is an abundant number, since it is smaller than the sum of its proper divisors (286174006000).

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

212007188720 is a wasteful number, since it uses less digits than its factorization.

212007188720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36402 (or 36396 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 38.

Adding to 212007188720 its reverse (27881700212), we get a palindrome (239888888932).

The spelling of 212007188720 in words is "two hundred twelve billion, seven million, one hundred eighty-eight thousand, seven hundred twenty".