1332110103120 has 240 divisors, whose sum is σ = 4706646536592. Its totient is φ = 337198325760.

The previous prime is 1332110103113. The next prime is 1332110103151. The reversal of 1332110103120 is 213010112331.

1332110103120 is a `hidden beast` number, since 1 + 332 + 1 + 10 + 10 + 312 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20278899216 + 1311831203904 = 142404^2 + 1145352^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1332110103093 and 1332110103102.

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, 482434 + ... + 1702046.

Almost surely, 2^{1332110103120} is an apocalyptic number.

1332110103120 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 1332110103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353323268296).

1332110103120 is an abundant number, since it is smaller than the sum of its proper divisors (3374536433472).

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

1332110103120 is a wasteful number, since it uses less digits than its factorization.

1332110103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219710 (or 1219701 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1332110103120 its reverse (213010112331), we get a palindrome (1545120215451).

The spelling of 1332110103120 in words is "one trillion, three hundred thirty-two billion, one hundred ten million, one hundred three thousand, one hundred twenty".