1249808120 has 64 divisors (see below), whose sum is σ = 3091271040. Its totient is φ = 450985600.

The previous prime is 1249808111. The next prime is 1249808129. The reversal of 1249808120 is 218089421.

It is an interprime number because it is at equal distance from previous prime (1249808111) and next prime (1249808129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249808129) 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, 46799 + ... + 68481.

It is an arithmetic number, because the mean of its divisors is an integer number (48301110).

Almost surely, 2^1249808120 is an apocalyptic number.

1249808120 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 1249808120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545635520).

1249808120 is an abundant number, since it is smaller than the sum of its proper divisors (1841462920).

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

1249808120 is a wasteful number, since it uses less digits than its factorization.

1249808120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21836 (or 21832 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 1249808120 is about 35352.6253621991. The cubic root of 1249808120 is about 1077.1622231383.

The spelling of 1249808120 in words is "one billion, two hundred forty-nine million, eight hundred eight thousand, one hundred twenty".