123145223040 has 192 divisors, whose sum is σ = 485983985760. Its totient is φ = 28147470336.

The previous prime is 123145223021. The next prime is 123145223041. The reversal of 123145223040 is 40322541321.

123145223040 is a `hidden beast` number, since 123 + 14 + 522 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 123145222995 and 123145223013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123145223041) 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 23 ways as a sum of consecutive naturals, for example, 1486779 + ... + 1567418.

Almost surely, 2^123145223040 is an apocalyptic number.

123145223040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123145223040 is an abundant number, since it is smaller than the sum of its proper divisors (362838762720).

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

123145223040 is a wasteful number, since it uses less digits than its factorization.

123145223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054229 (or 3054214 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 123145223040 its reverse (40322541321), we get a palindrome (163467764361).

The spelling of 123145223040 in words is "one hundred twenty-three billion, one hundred forty-five million, two hundred twenty-three thousand, forty".