1314069120 has 768 divisors, whose sum is σ = 5881075200. Its totient is φ = 262766592.

The previous prime is 1314069103. The next prime is 1314069157. The reversal of 1314069120 is 219604131.

1314069120 is a `hidden beast` number, since 131 + 406 + 9 + 120 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12055626 + ... + 12055734.

It is an arithmetic number, because the mean of its divisors is an integer number (7657650).

Almost surely, 2^1314069120 is an apocalyptic number.

1314069120 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 1314069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940537600).

1314069120 is an abundant number, since it is smaller than the sum of its proper divisors (4567006080).

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

1314069120 is a wasteful number, since it uses less digits than its factorization.

1314069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1314069120 is about 36250.0913102298. The cubic root of 1314069120 is about 1095.3159281057.

The spelling of 1314069120 in words is "one billion, three hundred fourteen million, sixty-nine thousand, one hundred twenty".