1005032120 has 64 divisors (see below), whose sum is σ = 2393820000. Its totient is φ = 379104768.

The previous prime is 1005032111. The next prime is 1005032123. The reversal of 1005032120 is 212305001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1005032095 and 1005032104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005032123) 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, 39806 + ... + 59954.

Almost surely, 2^1005032120 is an apocalyptic number.

1005032120 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 1005032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196910000).

1005032120 is an abundant number, since it is smaller than the sum of its proper divisors (1388787880).

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

1005032120 is a wasteful number, since it uses less digits than its factorization.

1005032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20232 (or 20228 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1005032120 is about 31702.2415611262. The cubic root of 1005032120 is about 1001.6745675915.

Adding to 1005032120 its reverse (212305001), we get a palindrome (1217337121).

The spelling of 1005032120 in words is "one billion, five million, thirty-two thousand, one hundred twenty".