12131121000 has 128 divisors (see below), whose sum is σ = 38772639360. Its totient is φ = 3156032000.

The previous prime is 12131120983. The next prime is 12131121011. The reversal of 12131121000 is 12113121.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 73687 + ... + 172313.

It is an arithmetic number, because the mean of its divisors is an integer number (302911245).

Almost surely, 2^12131121000 is an apocalyptic number.

12131121000 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 12131121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19386319680).

12131121000 is an abundant number, since it is smaller than the sum of its proper divisors (26641518360).

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

12131121000 is a wasteful number, since it uses less digits than its factorization.

12131121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98692 (or 98678 counting only the distinct ones).

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

Adding to 12131121000 its reverse (12113121), we get a palindrome (12143234121).

It can be divided in two parts, 121311 and 21000, that added together give a triangular number (142311 = T₅₃₃).

The spelling of 12131121000 in words is "twelve billion, one hundred thirty-one million, one hundred twenty-one thousand".