103320010224000 has 384 divisors, whose sum is σ = 371114367324480. Its totient is φ = 27547073740800.

The previous prime is 103320010223999. The next prime is 103320010224061. The reversal of 103320010224000 is 422010023301.

103320010224000 is a `hidden beast` number, since 1 + 0 + 3 + 320 + 0 + 102 + 240 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 843346749 + ... + 843469251.

Almost surely, 2^{103320010224000} is an apocalyptic number.

103320010224000 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 103320010224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185557183662240).

103320010224000 is an abundant number, since it is smaller than the sum of its proper divisors (267794357100480).

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

103320010224000 is a wasteful number, since it uses less digits than its factorization.

103320010224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128395 (or 128370 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103320010224000 its reverse (422010023301), we get a palindrome (103742020247301).

The spelling of 103320010224000 in words is "one hundred three trillion, three hundred twenty billion, ten million, two hundred twenty-four thousand".