122265073040 has 160 divisors (see below), whose sum is σ = 330560092800. Its totient is φ = 41563136000.

The previous prime is 122265072983. The next prime is 122265073103. The reversal of 122265073040 is 40370562221.

It is a junction number, because it is equal to n+sod(n) for n = 122265072988 and 122265073006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2201615 + ... + 2256465.

It is an arithmetic number, because the mean of its divisors is an integer number (2066000580).

Almost surely, 2^122265073040 is an apocalyptic number.

122265073040 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 122265073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165280046400).

122265073040 is an abundant number, since it is smaller than the sum of its proper divisors (208295019760).

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

122265073040 is a wasteful number, since it uses less digits than its factorization.

122265073040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55041 (or 55035 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 122265073040 in words is "one hundred twenty-two billion, two hundred sixty-five million, seventy-three thousand, forty".