1004132120 has 32 divisors (see below), whose sum is σ = 2270023920. Its totient is φ = 399745920.

The previous prime is 1004132119. The next prime is 1004132141. The reversal of 1004132120 is 212314001.

1004132120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1004132120³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1004132095 and 1004132104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51047 + ... + 67926.

Almost surely, 2^1004132120 is an apocalyptic number.

1004132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004132120 is an abundant number, since it is smaller than the sum of its proper divisors (1265891800).

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

1004132120 is a wasteful number, since it uses less digits than its factorization.

1004132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119195 (or 119191 counting only the distinct ones).

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

The square root of 1004132120 is about 31688.0438020399. The cubic root of 1004132120 is about 1001.3754805192.

Adding to 1004132120 its reverse (212314001), we get a palindrome (1216446121).

The spelling of 1004132120 in words is "one billion, four million, one hundred thirty-two thousand, one hundred twenty".