122228736000 has 1024 divisors, whose sum is σ = 490726080000. Its totient is φ = 26974617600.

The previous prime is 122228735989. The next prime is 122228736001. The reversal of 122228736000 is 637822221.

122228736000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122228736001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4214783986 + ... + 4214784014.

Almost surely, 2^122228736000 is an apocalyptic number.

122228736000 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 122228736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245363040000).

122228736000 is an abundant number, since it is smaller than the sum of its proper divisors (368497344000).

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

122228736000 is an frugal number, since it uses more digits than its factorization.

122228736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 122228736000 in words is "one hundred twenty-two billion, two hundred twenty-eight million, seven hundred thirty-six thousand".