120032103311300 has 72 divisors (see below), whose sum is σ = 261085123373256. Its totient is φ = 47899525340160.

The previous prime is 120032103311261. The next prime is 120032103311321. The reversal of 120032103311300 is 3113301230021.

It can be written as a sum of positive squares in 12 ways, for example, as 58772585003584 + 61259518307716 = 7666328^2 + 7826846^2 .

It is a super-3 number, since 3×120032103311300³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 71601494 + ... + 73258706.

It is an arithmetic number, because the mean of its divisors is an integer number (3626182269073).

Almost surely, 2^{120032103311300} is an apocalyptic number.

120032103311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120032103311300 is an abundant number, since it is smaller than the sum of its proper divisors (141053020061956).

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

120032103311300 is a wasteful number, since it uses less digits than its factorization.

120032103311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658937 (or 1658930 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 120032103311300 its reverse (3113301230021), we get a palindrome (123145404541321).

The spelling of 120032103311300 in words is "one hundred twenty trillion, thirty-two billion, one hundred three million, three hundred eleven thousand, three hundred".