1208481120 has 720 divisors, whose sum is σ = 5443553808. Its totient is φ = 249661440.

The previous prime is 1208481107. The next prime is 1208481133. The reversal of 1208481120 is 211848021.

It is an interprime number because it is at equal distance from previous prime (1208481107) and next prime (1208481133).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 6985354 + ... + 6985526.

Almost surely, 2^1208481120 is an apocalyptic number.

1208481120 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 1208481120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721776904).

1208481120 is an abundant number, since it is smaller than the sum of its proper divisors (4235072688).

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

1208481120 is a wasteful number, since it uses less digits than its factorization.

1208481120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1208481120 is about 34763.2150411897. The cubic root of 1208481120 is about 1065.1561762633.

The spelling of 1208481120 in words is "one billion, two hundred eight million, four hundred eighty-one thousand, one hundred twenty".