1272135840 has 384 divisors, whose sum is σ = 4514807808. Its totient is φ = 299581440.

The previous prime is 1272135797. The next prime is 1272135847. The reversal of 1272135840 is 485312721.

It is not an unprimeable number, because it can be changed into a prime (1272135847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11889067 + ... + 11889173.

It is an arithmetic number, because the mean of its divisors is an integer number (11757312).

Almost surely, 2^1272135840 is an apocalyptic number.

1272135840 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 1272135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257403904).

1272135840 is an abundant number, since it is smaller than the sum of its proper divisors (3242671968).

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

1272135840 is a wasteful number, since it uses less digits than its factorization.

1272135840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1272135840 is about 35667.0133316486. The cubic root of 1272135840 is about 1083.5388715075.

The spelling of 1272135840 in words is "one billion, two hundred seventy-two million, one hundred thirty-five thousand, eight hundred forty".