122405884000 has 192 divisors, whose sum is σ = 307989864000. Its totient is φ = 47809446400.

The previous prime is 122405883983. The next prime is 122405884001. The reversal of 122405884000 is 488504221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122405884001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821515926 + ... + 821516074.

It is an arithmetic number, because the mean of its divisors is an integer number (1604113875).

Almost surely, 2^122405884000 is an apocalyptic number.

122405884000 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 122405884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153994932000).

122405884000 is an abundant number, since it is smaller than the sum of its proper divisors (185583980000).

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

122405884000 is an frugal number, since it uses more digits than its factorization.

122405884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The spelling of 122405884000 in words is "one hundred twenty-two billion, four hundred five million, eight hundred eighty-four thousand".