30213200120 has 128 divisors (see below), whose sum is σ = 70648381440. Its totient is φ = 11620623360.

The previous prime is 30213200119. The next prime is 30213200159. The reversal of 30213200120 is 2100231203.

It is a happy number.

It is a super-2 number, since 2×30213200120² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30213200095 and 30213200104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64696127 + ... + 64696593.

It is an arithmetic number, because the mean of its divisors is an integer number (551940480).

Almost surely, 2^30213200120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30213200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35324190720).

30213200120 is an abundant number, since it is smaller than the sum of its proper divisors (40435181320).

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

30213200120 is a wasteful number, since it uses less digits than its factorization.

30213200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 30213200120 its reverse (2100231203), we get a palindrome (32313431323).

The spelling of 30213200120 in words is "thirty billion, two hundred thirteen million, two hundred thousand, one hundred twenty".