1301227200 has 672 divisors, whose sum is σ = 5855736320. Its totient is φ = 273715200.

The previous prime is 1301227199. The next prime is 1301227247. The reversal of 1301227200 is 27221031.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×1301227200³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3931035 + ... + 3931365.

Almost surely, 2^1301227200 is an apocalyptic number.

1301227200 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 1301227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927868160).

1301227200 is an abundant number, since it is smaller than the sum of its proper divisors (4554509120).

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

1301227200 is a wasteful number, since it uses less digits than its factorization.

1301227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1301227200 is about 36072.5269422590. The cubic root of 1301227200 is about 1091.7362000139.

Adding to 1301227200 its reverse (27221031), we get a palindrome (1328448231).

The spelling of 1301227200 in words is "one billion, three hundred one million, two hundred twenty-seven thousand, two hundred".