1001120120 has 192 divisors, whose sum is σ = 3048615360. Its totient is φ = 287907840.

The previous prime is 1001120119. The next prime is 1001120129. The reversal of 1001120120 is 210211001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1001120098 and 1001120107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001120129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439304 + ... + 441576.

It is an arithmetic number, because the mean of its divisors is an integer number (15878205).

Almost surely, 2^1001120120 is an apocalyptic number.

1001120120 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 1001120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524307680).

1001120120 is an abundant number, since it is smaller than the sum of its proper divisors (2047495240).

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

1001120120 is a wasteful number, since it uses less digits than its factorization.

1001120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1001120120 is about 31640.4822972091. The cubic root of 1001120120 is about 1000.3732340124.

Adding to 1001120120 its reverse (210211001), we get a palindrome (1211331121).

It can be divided in two parts, 1001 and 120120, that added together give a palindrome (121121).

The spelling of 1001120120 in words is "one billion, one million, one hundred twenty thousand, one hundred twenty".