1320101143120 has 40 divisors (see below), whose sum is σ = 3073226504040. Its totient is φ = 527353774080.

The previous prime is 1320101143111. The next prime is 1320101143121. The reversal of 1320101143120 is 213411010231.

It can be written as a sum of positive squares in 4 ways, for example, as 203461696 + 1319897681424 = 14264^2 + 1148868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320101143121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10667521 + ... + 10790560.

It is an arithmetic number, because the mean of its divisors is an integer number (76830662601).

Almost surely, 2^{1320101143120} is an apocalyptic number.

1320101143120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320101143120 is an abundant number, since it is smaller than the sum of its proper divisors (1753125360920).

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

1320101143120 is a wasteful number, since it uses less digits than its factorization.

1320101143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21458863 (or 21458857 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1320101143120 its reverse (213411010231), we get a palindrome (1533512153351).

The spelling of 1320101143120 in words is "one trillion, three hundred twenty billion, one hundred one million, one hundred forty-three thousand, one hundred twenty".