1413002120 has 32 divisors (see below), whose sum is σ = 3210741720. Its totient is φ = 559603200.

The previous prime is 1413002117. The next prime is 1413002183. The reversal of 1413002120 is 212003141.

It can be written as a sum of positive squares in 4 ways, for example, as 1398909604 + 14092516 = 37402^2 + 3754^2 .

It is a super-2 number, since 2×1413002120² = 3993149982248988800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1413002095 and 1413002104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170837 + ... + 178916.

Almost surely, 2^1413002120 is an apocalyptic number.

1413002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1413002120 is an abundant number, since it is smaller than the sum of its proper divisors (1797739600).

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

1413002120 is a wasteful number, since it uses less digits than its factorization.

1413002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349865 (or 349861 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1413002120 is about 37589.9204574843. The cubic root of 1413002120 is about 1122.1414492653.

Adding to 1413002120 its reverse (212003141), we get a palindrome (1625005261).

The spelling of 1413002120 in words is "one billion, four hundred thirteen million, two thousand, one hundred twenty".