1001141120 has 64 divisors (see below), whose sum is σ = 2735272800. Its totient is φ = 343246848.

The previous prime is 1001141117. The next prime is 1001141123. The reversal of 1001141120 is 211411001.

It is an interprime number because it is at equal distance from previous prime (1001141117) and next prime (1001141123).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001141123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107255 + ... + 116214.

Almost surely, 2^1001141120 is an apocalyptic number.

1001141120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001141120 is an abundant number, since it is smaller than the sum of its proper divisors (1734131680).

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

1001141120 is an equidigital number, since it uses as much as digits as its factorization.

1001141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223495 (or 223483 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1001141120 is about 31640.8141488173. The cubic root of 1001141120 is about 1000.3802287411.

Adding to 1001141120 its reverse (211411001), we get a palindrome (1212552121).

The spelling of 1001141120 in words is "one billion, one million, one hundred forty-one thousand, one hundred twenty".