1201400320 has 80 divisors (see below), whose sum is σ = 2913463080. Its totient is φ = 475070464.

The previous prime is 1201400309. The next prime is 1201400329. The reversal of 1201400320 is 230041021.

It can be written as a sum of positive squares in 4 ways, for example, as 781314304 + 420086016 = 27952^2 + 20496^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1201400320³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1201400320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201400329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225204 + ... + 230476.

Almost surely, 2^1201400320 is an apocalyptic number.

1201400320 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 1201400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456731540).

1201400320 is an abundant number, since it is smaller than the sum of its proper divisors (1712062760).

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

1201400320 is an frugal number, since it uses more digits than its factorization.

1201400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5385 (or 5369 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1201400320 is about 34661.2221365606. Note that the first 3 decimals coincide. The cubic root of 1201400320 is about 1063.0717590714.

Adding to 1201400320 its reverse (230041021), we get a palindrome (1431441341).

The spelling of 1201400320 in words is "one billion, two hundred one million, four hundred thousand, three hundred twenty".