1003212423200 has 144 divisors (see below), whose sum is σ = 2640766370760. Its totient is φ = 369955921920.

The previous prime is 1003212423181. The next prime is 1003212423221. The reversal of 1003212423200 is 23242123001.

It can be written as a sum of positive squares in 12 ways, for example, as 17875984 + 1003194547216 = 4228^2 + 1001596^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8353982 + ... + 8473218.

Almost surely, 2^{1003212423200} is an apocalyptic number.

1003212423200 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 1003212423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320383185380).

1003212423200 is an abundant number, since it is smaller than the sum of its proper divisors (1637553947560).

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

1003212423200 is a wasteful number, since it uses less digits than its factorization.

1003212423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120079 (or 120066 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1003212423200 its reverse (23242123001), we get a palindrome (1026454546201).

The spelling of 1003212423200 in words is "one trillion, three billion, two hundred twelve million, four hundred twenty-three thousand, two hundred".