1032000103200 has 288 divisors, whose sum is σ = 3749764499712. Its totient is φ = 244363392000.

The previous prime is 1032000103181. The next prime is 1032000103213. The reversal of 1032000103200 is 23010002301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680655 + ... + 1589745.

It is an arithmetic number, because the mean of its divisors is an integer number (13020015624).

Almost surely, 2^{1032000103200} is an apocalyptic number.

1032000103200 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 1032000103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874882249856).

1032000103200 is an abundant number, since it is smaller than the sum of its proper divisors (2717764396512).

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

1032000103200 is a wasteful number, since it uses less digits than its factorization.

1032000103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909168 (or 909155 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1032000103200 its reverse (23010002301), we get a palindrome (1055010105501).

The spelling of 1032000103200 in words is "one trillion, thirty-two billion, one hundred three thousand, two hundred".