122884620800 has 480 divisors, whose sum is σ = 331430787072. Its totient is φ = 45037076480.

The previous prime is 122884620757. The next prime is 122884620809. The reversal of 122884620800 is 8026488221.

It is not an unprimeable number, because it can be changed into a prime (122884620809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1148454347 + ... + 1148454453.

Almost surely, 2^122884620800 is an apocalyptic number.

122884620800 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 122884620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165715393536).

122884620800 is an abundant number, since it is smaller than the sum of its proper divisors (208546166272).

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

122884620800 is a wasteful number, since it uses less digits than its factorization.

122884620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The spelling of 122884620800 in words is "one hundred twenty-two billion, eight hundred eighty-four million, six hundred twenty thousand, eight hundred".