1253321120 has 48 divisors (see below), whose sum is σ = 2990326248. Its totient is φ = 496358400.

The previous prime is 1253321117. The next prime is 1253321143. The reversal of 1253321120 is 211233521.

It can be written as a sum of positive squares in 4 ways, for example, as 1105163536 + 148157584 = 33244^2 + 12172^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1253321092 and 1253321101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22619 + ... + 54938.

Almost surely, 2^1253321120 is an apocalyptic number.

1253321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253321120 is an abundant number, since it is smaller than the sum of its proper divisors (1737005128).

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

1253321120 is a wasteful number, since it uses less digits than its factorization.

1253321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77673 (or 77665 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1253321120 is about 35402.2756330720. The cubic root of 1253321120 is about 1078.1705195036.

Adding to 1253321120 its reverse (211233521), we get a palindrome (1464554641).

The spelling of 1253321120 in words is "one billion, two hundred fifty-three million, three hundred twenty-one thousand, one hundred twenty".