122648371200 has 252 divisors, whose sum is σ = 439333507158. Its totient is φ = 32705740800.

The previous prime is 122648371199. The next prime is 122648371247. The reversal of 122648371200 is 2173846221.

It is a happy number.

122648371200 is a `hidden beast` number, since 1 + 2 + 2 + 648 + 3 + 7 + 1 + 2 + 0 + 0 = 666.

122648371200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 110713245696 + 11935125504 = 332736^2 + 109248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1809930 + ... + 1876470.

Almost surely, 2^122648371200 is an apocalyptic number.

122648371200 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 122648371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219666753579).

122648371200 is an abundant number, since it is smaller than the sum of its proper divisors (316685135958).

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

122648371200 is an equidigital number, since it uses as much as digits as its factorization.

122648371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66583 (or 66551 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 122648371200 in words is "one hundred twenty-two billion, six hundred forty-eight million, three hundred seventy-one thousand, two hundred".