1301021200 has 120 divisors (see below), whose sum is σ = 3404246400. Its totient is φ = 475937280.

The previous prime is 1301021173. The next prime is 1301021207. The reversal of 1301021200 is 21201031.

It is a super-3 number, since 3×1301021200³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1301021207) 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, 217449 + ... + 223351.

It is an arithmetic number, because the mean of its divisors is an integer number (28368720).

Almost surely, 2^1301021200 is an apocalyptic number.

1301021200 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 1301021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702123200).

1301021200 is an abundant number, since it is smaller than the sum of its proper divisors (2103225200).

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

1301021200 is a wasteful number, since it uses less digits than its factorization.

1301021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5969 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1301021200 is about 36069.6714706414. The cubic root of 1301021200 is about 1091.6785852929.

Adding to 1301021200 its reverse (21201031), we get a palindrome (1322222231).

The spelling of 1301021200 in words is "one billion, three hundred one million, twenty-one thousand, two hundred".