122553277800 has 384 divisors, whose sum is σ = 395771097600. Its totient is φ = 31354076160.

The previous prime is 122553277799. The next prime is 122553277807. The reversal of 122553277800 is 8772355221.

It is not an unprimeable number, because it can be changed into a prime (122553277807) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 386603242 + ... + 386603558.

It is an arithmetic number, because the mean of its divisors is an integer number (1030653900).

Almost surely, 2^122553277800 is an apocalyptic number.

122553277800 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 122553277800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197885548800).

122553277800 is an abundant number, since it is smaller than the sum of its proper divisors (273217819800).

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

122553277800 is a wasteful number, since it uses less digits than its factorization.

122553277800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 122553277800 in words is "one hundred twenty-two billion, five hundred fifty-three million, two hundred seventy-seven thousand, eight hundred".