123142301414040 has 256 divisors, whose sum is σ = 371506282168320. Its totient is φ = 32653752768000.

The previous prime is 123142301414017. The next prime is 123142301414051. The reversal of 123142301414040 is 40414103241321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123142301413989 and 123142301414007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37878282415 + ... + 37878285665.

It is an arithmetic number, because the mean of its divisors is an integer number (1451196414720).

Almost surely, 2^{123142301414040} is an apocalyptic number.

123142301414040 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 123142301414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185753141084160).

123142301414040 is an abundant number, since it is smaller than the sum of its proper divisors (248363980754280).

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

123142301414040 is a wasteful number, since it uses less digits than its factorization.

123142301414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 123142301414040 its reverse (40414103241321), we get a palindrome (163556404655361).

The spelling of 123142301414040 in words is "one hundred twenty-three trillion, one hundred forty-two billion, three hundred one million, four hundred fourteen thousand, forty".