12331200010122 has 192 divisors, whose sum is σ = 32128705050624. Its totient is φ = 3471694188480.

The previous prime is 12331200010117. The next prime is 12331200010127. The reversal of 12331200010122 is 22101000213321.

12331200010122 is a `hidden beast` number, since 1 + 2 + 331 + 200 + 0 + 10 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (12331200010117) and next prime (12331200010127).

It is a super-3 number, since 3×12331200010122³ (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12331200010095 and 12331200010104.

It is not an unprimeable number, because it can be changed into a prime (12331200010127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 479931108 + ... + 479956800.

It is an arithmetic number, because the mean of its divisors is an integer number (167337005472).

Almost surely, 2^{12331200010122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12331200010122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16064352525312).

12331200010122 is an abundant number, since it is smaller than the sum of its proper divisors (19797505040502).

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

12331200010122 is a wasteful number, since it uses less digits than its factorization.

12331200010122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27775 (or 27763 counting only the distinct ones).

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

Adding to 12331200010122 its reverse (22101000213321), we get a palindrome (34432200223443).

The spelling of 12331200010122 in words is "twelve trillion, three hundred thirty-one billion, two hundred million, ten thousand, one hundred twenty-two".