12011121000 has 96 divisors (see below), whose sum is σ = 40597619400. Its totient is φ = 3202963200.

The previous prime is 12011120987. The next prime is 12011121013. The reversal of 12011121000 is 12111021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12011120987) and next prime (12011121013).

It can be written as a sum of positive squares in 4 ways, for example, as 6212907684 + 5798213316 = 78822^2 + 76146^2 .

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

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, 658285 + ... + 676284.

Almost surely, 2^12011121000 is an apocalyptic number.

12011121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011121000 is an abundant number, since it is smaller than the sum of its proper divisors (28586498400).

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

12011121000 is a wasteful number, since it uses less digits than its factorization.

12011121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334596 (or 1334579 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12011121000 its reverse (12111021), we get a palindrome (12023232021).

The spelling of 12011121000 in words is "twelve billion, eleven million, one hundred twenty-one thousand".