1253423120 has 80 divisors (see below), whose sum is σ = 2989509552. Its totient is φ = 488570880.

The previous prime is 1253423117. The next prime is 1253423147. The reversal of 1253423120 is 213243521.

It can be written as a sum of positive squares in 8 ways, for example, as 262180864 + 991242256 = 16192^2 + 31484^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550304 + ... + 552576.

Almost surely, 2^1253423120 is an apocalyptic number.

1253423120 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 1253423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494754776).

1253423120 is an abundant number, since it is smaller than the sum of its proper divisors (1736086432).

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

1253423120 is a wasteful number, since it uses less digits than its factorization.

1253423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1253423120 is about 35403.7161891234. The cubic root of 1253423120 is about 1078.1997672380.

Adding to 1253423120 its reverse (213243521), we get a palindrome (1466666641).

The spelling of 1253423120 in words is "one billion, two hundred fifty-three million, four hundred twenty-three thousand, one hundred twenty".