32120010 has 64 divisors (see below), whose sum is σ = 92252160. Its totient is φ = 7905600.

The previous prime is 32120003. The next prime is 32120017. The reversal of 32120010 is 1002123.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32120003) and next prime (32120017).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32119974 and 32120001.

It is not an unprimeable number, because it can be changed into a prime (32120017) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1066 + ... + 8085.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2^32120010 is an apocalyptic number.

32120010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46126080).

32120010 is an abundant number, since it is smaller than the sum of its proper divisors (60132150).

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

32120010 is a wasteful number, since it uses less digits than its factorization.

32120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9180 (or 9174 counting only the distinct ones).

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

The square root of 32120010 is about 5667.4518083527. The cubic root of 32120010 is about 317.8765986131.

Adding to 32120010 its reverse (1002123), we get a palindrome (33122133).

The spelling of 32120010 in words is "thirty-two million, one hundred twenty thousand, ten".