123013203015040 has 128 divisors (see below), whose sum is σ = 316710831316320. Its totient is φ = 45418685644800.

The previous prime is 123013203015029. The next prime is 123013203015049. The reversal of 123013203015040 is 40510302310321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×123013203015040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123013203014996 and 123013203015014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123013203015049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255158215 + ... + 255639865.

Almost surely, 2^{123013203015040} is an apocalyptic number.

123013203015040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123013203015040 is an abundant number, since it is smaller than the sum of its proper divisors (193697628301280).

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

123013203015040 is a wasteful number, since it uses less digits than its factorization.

123013203015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512380 (or 512368 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 123013203015040 its reverse (40510302310321), we get a palindrome (163523505325361).

The spelling of 123013203015040 in words is "one hundred twenty-three trillion, thirteen billion, two hundred three million, fifteen thousand, forty".