12001140 has 72 divisors (see below), whose sum is σ = 37034088. Its totient is φ = 3144960.

The previous prime is 12001139. The next prime is 12001153. The reversal of 12001140 is 4110021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1425636 + 10575504 = 1194^2 + 3252^2 .

It is a super-2 number, since 2×12001140² = 288054722599200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10434 + ... + 11526.

Almost surely, 2^12001140 is an apocalyptic number.

12001140 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 12001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18517044).

12001140 is an abundant number, since it is smaller than the sum of its proper divisors (25032948).

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

12001140 is a wasteful number, since it uses less digits than its factorization.

12001140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12001140 is about 3464.2661560567. The cubic root of 12001140 is about 228.9500981380.

Adding to 12001140 its reverse (4110021), we get a palindrome (16111161).

The spelling of 12001140 in words is "twelve million, one thousand, one hundred forty".