123167142215040 has 2304 divisors, whose sum is σ = 519563925780480. Its totient is φ = 24283931443200.

The previous prime is 123167142215021. The next prime is 123167142215057. The reversal of 123167142215040 is 40512241761321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 123167142215040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 82829281177 + ... + 82829282663.

It is an arithmetic number, because the mean of its divisors is an integer number (225505176120).

Almost surely, 2^{123167142215040} is an apocalyptic number.

123167142215040 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 123167142215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259781962890240).

123167142215040 is an abundant number, since it is smaller than the sum of its proper divisors (396396783565440).

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

123167142215040 is a wasteful number, since it uses less digits than its factorization.

123167142215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

Adding to 123167142215040 its reverse (40512241761321), we get a palindrome (163679383976361).

The spelling of 123167142215040 in words is "one hundred twenty-three trillion, one hundred sixty-seven billion, one hundred forty-two million, two hundred fifteen thousand, forty".