10032120 has 128 divisors (see below), whose sum is σ = 38246400. Its totient is φ = 2291328.

The previous prime is 10032119. The next prime is 10032151. The reversal of 10032120 is 2123001.

It is a happy number.

10032120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6897 + ... + 8223.

It is an arithmetic number, because the mean of its divisors is an integer number (298800).

Almost surely, 2^10032120 is an apocalyptic number.

10032120 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 10032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123200).

10032120 is an abundant number, since it is smaller than the sum of its proper divisors (28214280).

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

10032120 is a wasteful number, since it uses less digits than its factorization.

10032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10032120 is about 3167.3522064968. The cubic root of 10032120 is about 215.6738906151.

Adding to 10032120 its reverse (2123001), we get a palindrome (12155121).

The spelling of 10032120 in words is "ten million, thirty-two thousand, one hundred twenty".