1320001200 has 360 divisors, whose sum is σ = 5347004000. Its totient is φ = 301432320.

The previous prime is 1320001187. The next prime is 1320001201. The reversal of 1320001200 is 21000231.

It is a happy number.

1320001200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1320001201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1234266 + ... + 1235334.

Almost surely, 2^1320001200 is an apocalyptic number.

1320001200 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 1320001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673502000).

1320001200 is an abundant number, since it is smaller than the sum of its proper divisors (4027002800).

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

1320001200 is a wasteful number, since it uses less digits than its factorization.

1320001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1320001200 is about 36331.8207636226. The cubic root of 1320001200 is about 1096.9616428989.

Adding to 1320001200 its reverse (21000231), we get a palindrome (1341001431).

It can be divided in two parts, 1320001 and 200, that added together give a square (1320201 = 1149²).

The spelling of 1320001200 in words is "one billion, three hundred twenty million, one thousand, two hundred".