1001340120 has 128 divisors (see below), whose sum is σ = 3469962240. Its totient is φ = 228464640.

The previous prime is 1001340113. The next prime is 1001340127. The reversal of 1001340120 is 210431001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1001340113) and next prime (1001340127).

It is a super-2 number, since 2×1001340120² = 2005364071843228800, which contains 22 as substring.

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 = 1001340096 and 1001340105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001340127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129 + ... + 44751.

It is an arithmetic number, because the mean of its divisors is an integer number (27109080).

Almost surely, 2^1001340120 is an apocalyptic number.

1001340120 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 1001340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734981120).

1001340120 is an abundant number, since it is smaller than the sum of its proper divisors (2468622120).

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

1001340120 is a wasteful number, since it uses less digits than its factorization.

1001340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44665 (or 44661 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1001340120 is about 31643.9586651228. The cubic root of 1001340120 is about 1000.4465072683.

Adding to 1001340120 its reverse (210431001), we get a palindrome (1211771121).

The spelling of 1001340120 in words is "one billion, one million, three hundred forty thousand, one hundred twenty".