1240272000 has 768 divisors, whose sum is σ = 5212771200. Its totient is φ = 290304000.

The previous prime is 1240271999. The next prime is 1240272001. The reversal of 1240272000 is 2720421.

It is an interprime number because it is at equal distance from previous prime (1240271999) and next prime (1240272001).

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 (1240272001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42767986 + ... + 42768014.

Almost surely, 2^1240272000 is an apocalyptic number.

1240272000 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 1240272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606385600).

1240272000 is an abundant number, since it is smaller than the sum of its proper divisors (3972499200).

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

1240272000 is an equidigital number, since it uses as much as digits as its factorization.

1240272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1240272000 is about 35217.4956520193. The cubic root of 1240272000 is about 1074.4156189243.

Adding to 1240272000 its reverse (2720421), we get a palindrome (1242992421).

The spelling of 1240272000 in words is "one billion, two hundred forty million, two hundred seventy-two thousand".