240213120 has 256 divisors, whose sum is σ = 892442880. Its totient is φ = 53821440.

The previous prime is 240213101. The next prime is 240213121. The reversal of 240213120 is 21312042.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 240213120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240213121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819694 + ... + 819986.

It is an arithmetic number, because the mean of its divisors is an integer number (3486105).

Almost surely, 2^240213120 is an apocalyptic number.

240213120 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 240213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446221440).

240213120 is an abundant number, since it is smaller than the sum of its proper divisors (652229760).

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

240213120 is a wasteful number, since it uses less digits than its factorization.

240213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 240213120 is about 15498.8102769213. The cubic root of 240213120 is about 621.6303949333.

Adding to 240213120 its reverse (21312042), we get a palindrome (261525162).

The spelling of 240213120 in words is "two hundred forty million, two hundred thirteen thousand, one hundred twenty".