30220212120 has 256 divisors, whose sum is σ = 112828032000. Its totient is φ = 6318176256.

The previous prime is 30220212053. The next prime is 30220212221. The reversal of 30220212120 is 2121202203.

It is a happy number.

It is a super-2 number, since 2×30220212120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30220212120.

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 63 ways as a sum of consecutive naturals, for example, 430194 + ... + 495486.

It is an arithmetic number, because the mean of its divisors is an integer number (440734500).

Almost surely, 2^30220212120 is an apocalyptic number.

30220212120 is a gapful number since it is divisible by the number (30) 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 30220212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56414016000).

30220212120 is an abundant number, since it is smaller than the sum of its proper divisors (82607819880).

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

30220212120 is a wasteful number, since it uses less digits than its factorization.

30220212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65362 (or 65358 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 30220212120 its reverse (2121202203), we get a palindrome (32341414323).

The spelling of 30220212120 in words is "thirty billion, two hundred twenty million, two hundred twelve thousand, one hundred twenty".