1272240000 has 640 divisors, whose sum is σ = 5098368000. Its totient is φ = 311040000.

The previous prime is 1272239971. The next prime is 1272240001. The reversal of 1272240000 is 422721.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272240001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41039985 + ... + 41040015.

It is an arithmetic number, because the mean of its divisors is an integer number (7966200).

Almost surely, 2^1272240000 is an apocalyptic number.

1272240000 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 1272240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549184000).

1272240000 is an abundant number, since it is smaller than the sum of its proper divisors (3826128000).

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

1272240000 is an equidigital number, since it uses as much as digits as its factorization.

1272240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

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

The square root of 1272240000 is about 35668.4734744844. The cubic root of 1272240000 is about 1083.5684433832.

Adding to 1272240000 its reverse (422721), we get a palindrome (1272662721).

The spelling of 1272240000 in words is "one billion, two hundred seventy-two million, two hundred forty thousand".