1272819240 has 768 divisors, whose sum is σ = 5685189120. Its totient is φ = 238878720.

The previous prime is 1272819227. The next prime is 1272819259. The reversal of 1272819240 is 429182721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1272819195 and 1272819204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17435844 + ... + 17435916.

It is an arithmetic number, because the mean of its divisors is an integer number (7402590).

Almost surely, 2^1272819240 is an apocalyptic number.

1272819240 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 1272819240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842594560).

1272819240 is an abundant number, since it is smaller than the sum of its proper divisors (4412369880).

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

1272819240 is a wasteful number, since it uses less digits than its factorization.

1272819240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1272819240 is about 35676.5923260616. The cubic root of 1272819240 is about 1083.7328649167.

The spelling of 1272819240 in words is "one billion, two hundred seventy-two million, eight hundred nineteen thousand, two hundred forty".