1001121120120 has 128 divisors (see below), whose sum is σ = 3277847658240. Its totient is φ = 242588528640.

The previous prime is 1001121120007. The next prime is 1001121120133. The reversal of 1001121120120 is 210211211001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001121120096 and 1001121120105.

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, 2833527 + ... + 3167193.

It is an arithmetic number, because the mean of its divisors is an integer number (25608184830).

Almost surely, 2^{1001121120120} is an apocalyptic number.

1001121120120 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 1001121120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638923829120).

1001121120120 is an abundant number, since it is smaller than the sum of its proper divisors (2276726538120).

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

1001121120120 is a wasteful number, since it uses less digits than its factorization.

1001121120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335965 (or 335961 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001121120120 its reverse (210211211001), we get a palindrome (1211332331121).

It can be divided in two parts, 1001 and 121120120, that added together give a palindrome (121121121).

The spelling of 1001121120120 in words is "one trillion, one billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty".