1248480120 has 128 divisors (see below), whose sum is σ = 4009824000. Its totient is φ = 310026240.

The previous prime is 1248480109. The next prime is 1248480127. The reversal of 1248480120 is 210848421.

It is a super-2 number, since 2×1248480120² = 3117405220070428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1248480127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129880 + ... + 139160.

It is an arithmetic number, because the mean of its divisors is an integer number (31326750).

Almost surely, 2^1248480120 is an apocalyptic number.

1248480120 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 1248480120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004912000).

1248480120 is an abundant number, since it is smaller than the sum of its proper divisors (2761343880).

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

1248480120 is a wasteful number, since it uses less digits than its factorization.

1248480120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9373 (or 9369 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 1248480120 is about 35333.8381724941. The cubic root of 1248480120 is about 1076.7805703165.

It can be divided in two parts, 1248480 and 120, that multiplied together give a square (149817600 = 12240²).

The spelling of 1248480120 in words is "one billion, two hundred forty-eight million, four hundred eighty thousand, one hundred twenty".