123971431140000 has 720 divisors, whose sum is σ = 452689529580288. Its totient is φ = 32148188928000.

The previous prime is 123971431139869. The next prime is 123971431140061. The reversal of 123971431140000 is 41134179321.

It is a happy number.

123971431140000 is a `hidden beast` number, since 1 + 23 + 97 + 143 + 1 + 1 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16297016197 + ... + 16297023803.

Almost surely, 2^{123971431140000} is an apocalyptic number.

123971431140000 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 123971431140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226344764790144).

123971431140000 is an abundant number, since it is smaller than the sum of its proper divisors (328718098440288).

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

123971431140000 is a wasteful number, since it uses less digits than its factorization.

123971431140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10127 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 123971431140000 in words is "one hundred twenty-three trillion, nine hundred seventy-one billion, four hundred thirty-one million, one hundred forty thousand".