12012332121000 has 192 divisors, whose sum is σ = 42001741501200. Its totient is φ = 3092830272000.

The previous prime is 12012332120989. The next prime is 12012332121017. The reversal of 12012332121000 is 12123321021.

12012332121000 is a `hidden beast` number, since 1 + 201 + 233 + 21 + 210 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 158096892996 + 11854235228004 = 397614^2 + 3442998^2 .

It is a super-2 number, since 2×12012332121000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22751131 + ... + 23273130.

Almost surely, 2^{12012332121000} is an apocalyptic number.

12012332121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012332121000 is an abundant number, since it is smaller than the sum of its proper divisors (29989409380200).

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

12012332121000 is a wasteful number, since it uses less digits than its factorization.

12012332121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46024317 (or 46024300 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12012332121000 its reverse (12123321021), we get a palindrome (12024455442021).

It can be divided in two parts, 1201233 and 2121000, that added together give a palindrome (3322233).

The spelling of 12012332121000 in words is "twelve trillion, twelve billion, three hundred thirty-two million, one hundred twenty-one thousand".