122611968000 has 864 divisors, whose sum is σ = 465210443880. Its totient is φ = 32248627200.

The previous prime is 122611967983. The next prime is 122611968079. The reversal of 122611968000 is 869116221.

It can be written as a sum of positive squares in 4 ways, for example, as 39833773056 + 82778194944 = 199584^2 + 287712^2 .

It is a tau number, because it is divible by the number of its divisors (864).

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 71 ways as a sum of consecutive naturals, for example, 1679615964 + ... + 1679616036.

Almost surely, 2^122611968000 is an apocalyptic number.

122611968000 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 122611968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232605221940).

122611968000 is an abundant number, since it is smaller than the sum of its proper divisors (342598475880).

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

122611968000 is an frugal number, since it uses more digits than its factorization.

122611968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 122611968000 in words is "one hundred twenty-two billion, six hundred eleven million, nine hundred sixty-eight thousand".