212240022320 has 80 divisors (see below), whose sum is σ = 497310580800. Its totient is φ = 84234458112.

The previous prime is 212240022307. The next prime is 212240022341. The reversal of 212240022320 is 23220042212.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 212240022292 and 212240022301.

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, 11517434 + ... + 11535846.

It is an arithmetic number, because the mean of its divisors is an integer number (6216382260).

Almost surely, 2^212240022320 is an apocalyptic number.

212240022320 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 212240022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248655290400).

212240022320 is an abundant number, since it is smaller than the sum of its proper divisors (285070558480).

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

212240022320 is a wasteful number, since it uses less digits than its factorization.

212240022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19542 (or 19536 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 212240022320 its reverse (23220042212), we get a palindrome (235460064532).

The spelling of 212240022320 in words is "two hundred twelve billion, two hundred forty million, twenty-two thousand, three hundred twenty".