213120001220 has 144 divisors (see below), whose sum is σ = 554025225600. Its totient is φ = 68424846336.

The previous prime is 213120001181. The next prime is 213120001267. The reversal of 213120001220 is 22100021312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 213120001195 and 213120001204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3283199 + ... + 3347481.

It is an arithmetic number, because the mean of its divisors is an integer number (3847397400).

Almost surely, 2^213120001220 is an apocalyptic number.

213120001220 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 213120001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277012612800).

213120001220 is an abundant number, since it is smaller than the sum of its proper divisors (340905224380).

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

213120001220 is a wasteful number, since it uses less digits than its factorization.

213120001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64522 (or 64513 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 213120001220 its reverse (22100021312), we get a palindrome (235220022532).

The spelling of 213120001220 in words is "two hundred thirteen billion, one hundred twenty million, one thousand, two hundred twenty".