1255269120 has 576 divisors, whose sum is σ = 5043741696. Its totient is φ = 259522560.

The previous prime is 1255269077. The next prime is 1255269121. The reversal of 1255269120 is 219625521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255269121) 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, 18735327 + ... + 18735393.

It is an arithmetic number, because the mean of its divisors is an integer number (8756496).

Almost surely, 2^1255269120 is an apocalyptic number.

1255269120 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 1255269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521870848).

1255269120 is an abundant number, since it is smaller than the sum of its proper divisors (3788472576).

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

1255269120 is a wasteful number, since it uses less digits than its factorization.

1255269120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 1255269120 is about 35429.7773066668. Note that the first 3 decimals coincide. The cubic root of 1255269120 is about 1078.7288198850.

The spelling of 1255269120 in words is "one billion, two hundred fifty-five million, two hundred sixty-nine thousand, one hundred twenty".