1001001120 has 192 divisors, whose sum is σ = 3728229120. Its totient is φ = 220889088.

The previous prime is 1001001119. The next prime is 1001001137. The reversal of 1001001120 is 211001001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1001001099 and 1001001108.

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, 92304 + ... + 102576.

It is an arithmetic number, because the mean of its divisors is an integer number (19417860).

Almost surely, 2^1001001120 is an apocalyptic number.

1001001120 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 1001001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864114560).

1001001120 is an abundant number, since it is smaller than the sum of its proper divisors (2727228000).

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

1001001120 is a wasteful number, since it uses less digits than its factorization.

1001001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10327 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1001001120 is about 31638.6017390150. The cubic root of 1001001120 is about 1000.3335953684. Note that the first 3 decimals are identical.

Adding to 1001001120 its reverse (211001001), we get a palindrome (1212002121).

The spelling of 1001001120 in words is "one billion, one million, one thousand, one hundred twenty".