212013330120 has 192 divisors, whose sum is σ = 756597179520. Its totient is φ = 53211147264.

The previous prime is 212013330119. The next prime is 212013330121. The reversal of 212013330120 is 21033310212.

212013330120 is a `hidden beast` number, since 212 + 0 + 1 + 3 + 330 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (212013330119) and next prime (212013330121).

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 = 212013330093 and 212013330102.

It is not an unprimeable number, because it can be changed into a prime (212013330121) 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, 476292 + ... + 806771.

It is an arithmetic number, because the mean of its divisors is an integer number (3940610310).

Almost surely, 2^212013330120 is an apocalyptic number.

212013330120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212013330120 is an abundant number, since it is smaller than the sum of its proper divisors (544583849400).

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

212013330120 is a wasteful number, since it uses less digits than its factorization.

212013330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283106 (or 1283090 counting only the distinct ones).

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

Adding to 212013330120 its reverse (21033310212), we get a palindrome (233046640332).

The spelling of 212013330120 in words is "two hundred twelve billion, thirteen million, three hundred thirty thousand, one hundred twenty".