103223223331200 has 1536 divisors, whose sum is σ = 457560928512000. Its totient is φ = 22185144483840.

The previous prime is 103223223331169. The next prime is 103223223331309. The reversal of 103223223331200 is 2133322322301.

103223223331200 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 2 + 322 + 3 + 331 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12574392696 + ... + 12574400904.

It is an arithmetic number, because the mean of its divisors is an integer number (297891229500).

Almost surely, 2^{103223223331200} is an apocalyptic number.

103223223331200 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 103223223331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228780464256000).

103223223331200 is an abundant number, since it is smaller than the sum of its proper divisors (354337705180800).

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

103223223331200 is a wasteful number, since it uses less digits than its factorization.

103223223331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9489 (or 9466 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 103223223331200 its reverse (2133322322301), we get a palindrome (105356545653501).

It can be divided in two parts, 1032 and 23223331200, that added together give a palindrome (23223332232).

The spelling of 103223223331200 in words is "one hundred three trillion, two hundred twenty-three billion, two hundred twenty-three million, three hundred thirty-one thousand, two hundred".