3126021200 has 120 divisors (see below), whose sum is σ = 7990222968. Its totient is φ = 1171210240.

The previous prime is 3126021187. The next prime is 3126021203. The reversal of 3126021200 is 21206213.

It can be written as a sum of positive squares in 12 ways, for example, as 1289384464 + 1836636736 = 35908^2 + 42856^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3126021203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1583414 + ... + 1585386.

Almost surely, 2^3126021200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3126021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995111484).

3126021200 is an abundant number, since it is smaller than the sum of its proper divisors (4864201768).

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

3126021200 is a wasteful number, since it uses less digits than its factorization.

3126021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3126021200 is about 55910.8325818888. The cubic root of 3126021200 is about 1462.1681054645.

Adding to 3126021200 its reverse (21206213), we get a palindrome (3147227413).

The spelling of 3126021200 in words is "three billion, one hundred twenty-six million, twenty-one thousand, two hundred".