122505045000 has 160 divisors (see below), whose sum is σ = 412145321280. Its totient is φ = 30155040000.

The previous prime is 122505044953. The next prime is 122505045011. The reversal of 122505045000 is 540505221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119116 + ... + 509115.

It is an arithmetic number, because the mean of its divisors is an integer number (2575908258).

Almost surely, 2^122505045000 is an apocalyptic number.

122505045000 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 122505045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206072660640).

122505045000 is an abundant number, since it is smaller than the sum of its proper divisors (289640276280).

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

122505045000 is a wasteful number, since it uses less digits than its factorization.

122505045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628273 (or 628254 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The spelling of 122505045000 in words is "one hundred twenty-two billion, five hundred five million, forty-five thousand".