2001120000120 has 128 divisors (see below), whose sum is σ = 6676451481600. Its totient is φ = 533147882112.

The previous prime is 2001120000119. The next prime is 2001120000133. The reversal of 2001120000120 is 210000211002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351309 + ... + 2031171.

It is an arithmetic number, because the mean of its divisors is an integer number (52159777200).

Almost surely, 2^{2001120000120} is an apocalyptic number.

2001120000120 is a gapful number since it is divisible by the number (20) 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 2001120000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338225740800).

2001120000120 is an abundant number, since it is smaller than the sum of its proper divisors (4675331481480).

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

2001120000120 is a wasteful number, since it uses less digits than its factorization.

2001120000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680986 (or 1680976 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2001120000120 its reverse (210000211002), we get a palindrome (2211120211122).

The spelling of 2001120000120 in words is "two trillion, one billion, one hundred twenty million, one hundred twenty", and thus it is an aban number.