3121232010 has 256 divisors, whose sum is σ = 8778792960. Its totient is φ = 704471040.

The previous prime is 3121232003. The next prime is 3121232029. The reversal of 3121232010 is 102321213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

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 127 ways as a sum of consecutive naturals, for example, 24576567 + ... + 24576693.

It is an arithmetic number, because the mean of its divisors is an integer number (34292160).

Almost surely, 2^3121232010 is an apocalyptic number.

3121232010 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 3121232010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389396480).

3121232010 is an abundant number, since it is smaller than the sum of its proper divisors (5657560950).

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

3121232010 is a wasteful number, since it uses less digits than its factorization.

3121232010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3121232010 is about 55867.9873451693. The cubic root of 3121232010 is about 1461.4210237317.

Adding to 3121232010 its reverse (102321213), we get a palindrome (3223553223).

The spelling of 3121232010 in words is "three billion, one hundred twenty-one million, two hundred thirty-two thousand, ten".