212030313120 has 384 divisors, whose sum is σ = 811115182080. Its totient is φ = 51498270720.

The previous prime is 212030313107. The next prime is 212030313167. The reversal of 212030313120 is 21313030212.

212030313120 is a `hidden beast` number, since 212 + 0 + 303 + 131 + 20 = 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 = 212030313093 and 212030313102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2230074 + ... + 2323206.

It is an arithmetic number, because the mean of its divisors is an integer number (2112279120).

Almost surely, 2^212030313120 is an apocalyptic number.

212030313120 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 212030313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405557591040).

212030313120 is an abundant number, since it is smaller than the sum of its proper divisors (599084868960).

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

212030313120 is a wasteful number, since it uses less digits than its factorization.

212030313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93205 (or 93191 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212030313120 its reverse (21313030212), we get a palindrome (233343343332).

The spelling of 212030313120 in words is "two hundred twelve billion, thirty million, three hundred thirteen thousand, one hundred twenty".