122673107040 has 384 divisors, whose sum is σ = 452656512000. Its totient is φ = 27593932800.

The previous prime is 122673107009. The next prime is 122673107047. The reversal of 122673107040 is 40701376221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 122673106992 and 122673107010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122673107047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6363336 + ... + 6382584.

It is an arithmetic number, because the mean of its divisors is an integer number (1178793000).

Almost surely, 2^122673107040 is an apocalyptic number.

122673107040 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 122673107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226328256000).

122673107040 is an abundant number, since it is smaller than the sum of its proper divisors (329983404960).

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

122673107040 is a wasteful number, since it uses less digits than its factorization.

122673107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19366 (or 19358 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 122673107040 in words is "one hundred twenty-two billion, six hundred seventy-three million, one hundred seven thousand, forty".