212120370 has 320 divisors, whose sum is σ = 752716800. Its totient is φ = 41523840.

The previous prime is 212120369. The next prime is 212120393. The reversal of 212120370 is 73021212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1184941 + ... + 1185119.

It is an arithmetic number, because the mean of its divisors is an integer number (2352240).

Almost surely, 2^212120370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212120370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376358400).

212120370 is an abundant number, since it is smaller than the sum of its proper divisors (540596430).

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

212120370 is a wasteful number, since it uses less digits than its factorization.

212120370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 212120370 is about 14564.3527147622. The cubic root of 212120370 is about 596.3860256878.

Adding to 212120370 its reverse (73021212), we get a palindrome (285141582).

The spelling of 212120370 in words is "two hundred twelve million, one hundred twenty thousand, three hundred seventy".