120103323203232 has 288 divisors, whose sum is σ = 366630964277760. Its totient is φ = 37159015956480.

The previous prime is 120103323203231. The next prime is 120103323203239. The reversal of 120103323203232 is 232302323301021.

120103323203232 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 0 + 332 + 3 + 2 + 0 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×120103323203232² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120103323203196 and 120103323203205.

It is not an unprimeable number, because it can be changed into a prime (120103323203231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4631637307 + ... + 4631663237.

It is an arithmetic number, because the mean of its divisors is an integer number (1273024181520).

Almost surely, 2^{120103323203232} is an apocalyptic number.

120103323203232 is a gapful number since it is divisible by the number (12) 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 120103323203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183315482138880).

120103323203232 is an abundant number, since it is smaller than the sum of its proper divisors (246527641074528).

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

120103323203232 is a wasteful number, since it uses less digits than its factorization.

120103323203232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38996 (or 38985 counting only the distinct ones).

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

Adding to 120103323203232 its reverse (232302323301021), we get a palindrome (352405646504253).

The spelling of 120103323203232 in words is "one hundred twenty trillion, one hundred three billion, three hundred twenty-three million, two hundred three thousand, two hundred thirty-two".