212013122220 has 192 divisors, whose sum is σ = 694773273600. Its totient is φ = 53525629440.

The previous prime is 212013122219. The next prime is 212013122249. The reversal of 212013122220 is 22221310212.

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 = 212013122193 and 212013122202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17651457 + ... + 17663463.

It is an arithmetic number, because the mean of its divisors is an integer number (3618610800).

Almost surely, 2^212013122220 is an apocalyptic number.

212013122220 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 212013122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347386636800).

212013122220 is an abundant number, since it is smaller than the sum of its proper divisors (482760151380).

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

212013122220 is a wasteful number, since it uses less digits than its factorization.

212013122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13765 (or 13757 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212013122220 its reverse (22221310212), we get a palindrome (234234432432).

The spelling of 212013122220 in words is "two hundred twelve billion, thirteen million, one hundred twenty-two thousand, two hundred twenty".