1240215200 has 144 divisors (see below), whose sum is σ = 3611018880. Its totient is φ = 406686720.

The previous prime is 1240215187. The next prime is 1240215203. The reversal of 1240215200 is 25120421.

It is a super-2 number, since 2×1240215200² = 3076267484622080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1240215203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123986 + ... + 133614.

It is an arithmetic number, because the mean of its divisors is an integer number (25076520).

Almost surely, 2^1240215200 is an apocalyptic number.

1240215200 is a gapful number since it is divisible by the number (10) 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 1240215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805509440).

1240215200 is an abundant number, since it is smaller than the sum of its proper divisors (2370803680).

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

1240215200 is a wasteful number, since it uses less digits than its factorization.

1240215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9679 (or 9666 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1240215200 is about 35216.6892254227. The cubic root of 1240215200 is about 1074.3992172159.

Adding to 1240215200 its reverse (25120421), we get a palindrome (1265335621).

The spelling of 1240215200 in words is "one billion, two hundred forty million, two hundred fifteen thousand, two hundred".