212401120 has 48 divisors (see below), whose sum is σ = 503284320. Its totient is φ = 84708864.

The previous prime is 212401117. The next prime is 212401177. The reversal of 212401120 is 21104212.

It is a happy number.

It is a super-2 number, since 2×212401120² = 90228471554508800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212401120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57901 + ... + 61459.

It is an arithmetic number, because the mean of its divisors is an integer number (10485090).

Almost surely, 2^212401120 is an apocalyptic number.

212401120 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 212401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251642160).

212401120 is an abundant number, since it is smaller than the sum of its proper divisors (290883200).

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

212401120 is a wasteful number, since it uses less digits than its factorization.

212401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 212401120 is about 14573.9877864639. The cubic root of 212401120 is about 596.6490234719.

Adding to 212401120 its reverse (21104212), we get a palindrome (233505332).

It can be divided in two parts, 212401 and 120, that added together give a square (212521 = 461²).

The spelling of 212401120 in words is "two hundred twelve million, four hundred one thousand, one hundred twenty".