122127616000 has 192 divisors, whose sum is σ = 328207829040. Its totient is φ = 45092044800.

The previous prime is 122127615983. The next prime is 122127616007. The reversal of 122127616000 is 616721221.

It can be written as a sum of positive squares in 8 ways, for example, as 3328828416 + 118798787584 = 57696^2 + 344672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122127616000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122127616007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3309652 + ... + 3346348.

Almost surely, 2^122127616000 is an apocalyptic number.

122127616000 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 122127616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164103914520).

122127616000 is an abundant number, since it is smaller than the sum of its proper divisors (206080213040).

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

122127616000 is an equidigital number, since it uses as much as digits as its factorization.

122127616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36747 (or 36717 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 122127616000 in words is "one hundred twenty-two billion, one hundred twenty-seven million, six hundred sixteen thousand".