213030222120 has 192 divisors, whose sum is σ = 700546803840. Its totient is φ = 56137536000.

The previous prime is 213030222079. The next prime is 213030222121. The reversal of 213030222120 is 21222030312.

213030222120 is a `hidden beast` number, since 21 + 303 + 0 + 222 + 120 = 666.

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 = 213030222093 and 213030222102.

It is not an unprimeable number, because it can be changed into a prime (213030222121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19883565 + ... + 19894275.

It is an arithmetic number, because the mean of its divisors is an integer number (3648681270).

Almost surely, 2^213030222120 is an apocalyptic number.

213030222120 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 213030222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350273401920).

213030222120 is an abundant number, since it is smaller than the sum of its proper divisors (487516581720).

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

213030222120 is a wasteful number, since it uses less digits than its factorization.

213030222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11376 (or 11369 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213030222120 its reverse (21222030312), we get a palindrome (234252252432).

The spelling of 213030222120 in words is "two hundred thirteen billion, thirty million, two hundred twenty-two thousand, one hundred twenty".