212113440 has 288 divisors, whose sum is σ = 902918016. Its totient is φ = 44052480.

The previous prime is 212113427. The next prime is 212113441. The reversal of 212113440 is 44311212.

212113440 is a `hidden beast` number, since 212 + 1 + 13 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×212113440² = 89984222857267200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (212113441) 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, 109924 + ... + 111836.

It is an arithmetic number, because the mean of its divisors is an integer number (3135132).

Almost surely, 2^212113440 is an apocalyptic number.

212113440 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 212113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451459008).

212113440 is an abundant number, since it is smaller than the sum of its proper divisors (690804576).

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

212113440 is a wasteful number, since it uses less digits than its factorization.

212113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 212113440 is about 14564.1148031729. The cubic root of 212113440 is about 596.3795309475.

Adding to 212113440 its reverse (44311212), we get a palindrome (256424652).

The spelling of 212113440 in words is "two hundred twelve million, one hundred thirteen thousand, four hundred forty".