1314210120 has 64 divisors (see below), whose sum is σ = 3945205440. Its totient is φ = 350227200.

The previous prime is 1314210113. The next prime is 1314210127. The reversal of 1314210120 is 210124131.

It is an interprime number because it is at equal distance from previous prime (1314210113) and next prime (1314210127).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1314210120.

It is not an unprimeable number, because it can be changed into a prime (1314210127) 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, 264055 + ... + 268985.

It is an arithmetic number, because the mean of its divisors is an integer number (61643835).

Almost surely, 2^1314210120 is an apocalyptic number.

1314210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314210120 is an abundant number, since it is smaller than the sum of its proper divisors (2630995320).

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

1314210120 is a wasteful number, since it uses less digits than its factorization.

1314210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7166 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1314210120 is about 36252.0360807500. The cubic root of 1314210120 is about 1095.3551026108.

Adding to 1314210120 its reverse (210124131), we get a palindrome (1524334251).

The spelling of 1314210120 in words is "one billion, three hundred fourteen million, two hundred ten thousand, one hundred twenty".