213221011120 has 240 divisors, whose sum is σ = 569129948352. Its totient is φ = 73832601600.

The previous prime is 213221011103. The next prime is 213221011183. The reversal of 213221011120 is 21110122312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 213221011094 and 213221011103.

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, 37916629 + ... + 37922251.

Almost surely, 2^213221011120 is an apocalyptic number.

213221011120 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 213221011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284564974176).

213221011120 is an abundant number, since it is smaller than the sum of its proper divisors (355908937232).

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

213221011120 is a wasteful number, since it uses less digits than its factorization.

213221011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5788 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 213221011120 its reverse (21110122312), we get a palindrome (234331133432).

The spelling of 213221011120 in words is "two hundred thirteen billion, two hundred twenty-one million, eleven thousand, one hundred twenty".