103312232223200 has 1152 divisors, whose sum is σ = 345092542663680. Its totient is φ = 29159792640000.

The previous prime is 103312232223197. The next prime is 103312232223223. The reversal of 103312232223200 is 2322232213301.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 103312232223200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19979156615 + ... + 19979161785.

It is an arithmetic number, because the mean of its divisors is an integer number (299559498840).

Almost surely, 2^{103312232223200} is an apocalyptic number.

103312232223200 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 103312232223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172546271331840).

103312232223200 is an abundant number, since it is smaller than the sum of its proper divisors (241780310440480).

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

103312232223200 is a wasteful number, since it uses less digits than its factorization.

103312232223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 103312232223200 its reverse (2322232213301), we get a palindrome (105634464436501).

The spelling of 103312232223200 in words is "one hundred three trillion, three hundred twelve billion, two hundred thirty-two million, two hundred twenty-three thousand, two hundred".