1349517120 has 224 divisors, whose sum is σ = 5185306368. Its totient is φ = 290291712.

The previous prime is 1349517101. The next prime is 1349517139. The reversal of 1349517120 is 217159431.

It is an interprime number because it is at equal distance from previous prime (1349517101) and next prime (1349517139).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108334 + ... + 120146.

Almost surely, 2^1349517120 is an apocalyptic number.

1349517120 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 1349517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592653184).

1349517120 is an abundant number, since it is smaller than the sum of its proper divisors (3835789248).

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

1349517120 is a wasteful number, since it uses less digits than its factorization.

1349517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11857 (or 11847 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 1349517120 is about 36735.7743895511. The cubic root of 1349517120 is about 1105.0776601643.

The spelling of 1349517120 in words is "one billion, three hundred forty-nine million, five hundred seventeen thousand, one hundred twenty".