123122004100040 has 64 divisors (see below), whose sum is σ = 302213819880000. Its totient is φ = 44770857949440.

The previous prime is 123122004099979. The next prime is 123122004100079. The reversal of 123122004100040 is 40001400221321.

123122004100040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123122004100040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123122004099985 and 123122004100021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23155406 + ... + 27971714.

It is an arithmetic number, because the mean of its divisors is an integer number (4722090935625).

Almost surely, 2^{123122004100040} is an apocalyptic number.

123122004100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123122004100040 is an abundant number, since it is smaller than the sum of its proper divisors (179091815779960).

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

123122004100040 is a wasteful number, since it uses less digits than its factorization.

123122004100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874430 (or 4874426 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 123122004100040 its reverse (40001400221321), we get a palindrome (163123404321361).

The spelling of 123122004100040 in words is "one hundred twenty-three trillion, one hundred twenty-two billion, four million, one hundred thousand, forty".