212022220320 has 144 divisors (see below), whose sum is σ = 724175629632. Its totient is φ = 56488481280.

The previous prime is 212022220231. The next prime is 212022220339. The reversal of 212022220320 is 23022220212.

212022220320 is a `hidden beast` number, since 2 + 120 + 2 + 2 + 220 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 212022220293 and 212022220302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1551565 + ... + 1682675.

It is an arithmetic number, because the mean of its divisors is an integer number (5028997428).

Almost surely, 2^212022220320 is an apocalyptic number.

212022220320 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 212022220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362087814816).

212022220320 is an abundant number, since it is smaller than the sum of its proper divisors (512153409312).

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

212022220320 is a wasteful number, since it uses less digits than its factorization.

212022220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132255 (or 132244 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 212022220320 its reverse (23022220212), we get a palindrome (235044440532).

The spelling of 212022220320 in words is "two hundred twelve billion, twenty-two million, two hundred twenty thousand, three hundred twenty".