1249600120 has 64 divisors (see below), whose sum is σ = 2962552320. Its totient is φ = 473430144.

The previous prime is 1249600103. The next prime is 1249600123. The reversal of 1249600120 is 210069421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249600123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88167 + ... + 101353.

It is an arithmetic number, because the mean of its divisors is an integer number (46289880).

Almost surely, 2^1249600120 is an apocalyptic number.

1249600120 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 1249600120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481276160).

1249600120 is an abundant number, since it is smaller than the sum of its proper divisors (1712952200).

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

1249600120 is a wasteful number, since it uses less digits than its factorization.

1249600120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13324 (or 13320 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1249600120 is about 35349.6834497849. The cubic root of 1249600120 is about 1077.1024640523.

Adding to 1249600120 its reverse (210069421), we get a palindrome (1459669541).

The spelling of 1249600120 in words is "one billion, two hundred forty-nine million, six hundred thousand, one hundred twenty".