120132002001300 has 288 divisors, whose sum is σ = 367032524081664. Its totient is φ = 30296913408000.

The previous prime is 120132002001287. The next prime is 120132002001343. The reversal of 120132002001300 is 3100200231021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120132002001300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122845074 + ... + 123819126.

Almost surely, 2^{120132002001300} is an apocalyptic number.

120132002001300 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 120132002001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183516262040832).

120132002001300 is an abundant number, since it is smaller than the sum of its proper divisors (246900522080364).

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

120132002001300 is a wasteful number, since it uses less digits than its factorization.

120132002001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974419 (or 974412 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 120132002001300 its reverse (3100200231021), we get a palindrome (123232202232321).

The spelling of 120132002001300 in words is "one hundred twenty trillion, one hundred thirty-two billion, two million, one thousand, three hundred".