1300121200 has 120 divisors (see below), whose sum is σ = 3589404192. Its totient is φ = 443304960.

The previous prime is 1300121197. The next prime is 1300121203. The reversal of 1300121200 is 21210031.

It is an interprime number because it is at equal distance from previous prime (1300121197) and next prime (1300121203).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300121203) 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, 550422 + ... + 552778.

Almost surely, 2^1300121200 is an apocalyptic number.

1300121200 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 1300121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794702096).

1300121200 is an abundant number, since it is smaller than the sum of its proper divisors (2289282992).

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

1300121200 is a wasteful number, since it uses less digits than its factorization.

1300121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2568 counting only the distinct ones).

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

The square root of 1300121200 is about 36057.1934570621. The cubic root of 1300121200 is about 1091.4267991398.

Adding to 1300121200 its reverse (21210031), we get a palindrome (1321331231).

It can be divided in two parts, 1300 and 121200, that added together give a square (122500 = 350²).

The spelling of 1300121200 in words is "one billion, three hundred million, one hundred twenty-one thousand, two hundred".