123131412000 has 576 divisors, whose sum is σ = 453906651744. Its totient is φ = 31585075200.

The previous prime is 123131411993. The next prime is 123131412007. The reversal of 123131412000 is 214131321.

123131412000 is a `hidden beast` number, since 1 + 231 + 314 + 120 + 0 + 0 = 666.

123131412000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (123131411993) and next prime (123131412007).

It can be written as a sum of positive squares in 16 ways, for example, as 342842256 + 122788569744 = 18516^2 + 350412^2 .

It is a super-2 number, since 2×123131412000² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (123131412007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129203524 + ... + 129204476.

Almost surely, 2^123131412000 is an apocalyptic number.

123131412000 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 123131412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226953325872).

123131412000 is an abundant number, since it is smaller than the sum of its proper divisors (330775239744).

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

123131412000 is a wasteful number, since it uses less digits than its factorization.

123131412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1097 counting only the distinct ones).

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

Adding to 123131412000 its reverse (214131321), we get a palindrome (123345543321).

The spelling of 123131412000 in words is "one hundred twenty-three billion, one hundred thirty-one million, four hundred twelve thousand".