1232003001600 has 2268 divisors, whose sum is σ = 5649073647084. Its totient is φ = 264199864320.

The previous prime is 1232003001599. The next prime is 1232003001623. The reversal of 1232003001600 is 61003002321.

1232003001600 is a `hidden beast` number, since 1 + 2 + 3 + 200 + 300 + 160 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 86041315584 + 1145961686016 = 293328^2 + 1070496^2 .

It is a tau number, because it is divible by the number of its divisors (2268).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 3886444642 + ... + 3886444958.

It is an arithmetic number, because the mean of its divisors is an integer number (2490773213).

Almost surely, 2^{1232003001600} is an apocalyptic number.

1232003001600 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 1232003001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824536823542).

1232003001600 is an abundant number, since it is smaller than the sum of its proper divisors (4417070645484).

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

1232003001600 is an equidigital number, since it uses as much as digits as its factorization.

1232003001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1232003001600 its reverse (61003002321), we get a palindrome (1293006003921).

The spelling of 1232003001600 in words is "one trillion, two hundred thirty-two billion, three million, one thousand, six hundred".