122006016000 has 1248 divisors, whose sum is σ = 502327163520. Its totient is φ = 28213248000.

The previous prime is 122006015977. The next prime is 122006016017. The reversal of 122006016000 is 610600221.

It is a happy number.

122006016000 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 0 + 60 + 1 + 600 + 0 = 666.

122006016000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1469951959 + ... + 1469952041.

It is an arithmetic number, because the mean of its divisors is an integer number (402505740).

Almost surely, 2^122006016000 is an apocalyptic number.

122006016000 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 122006016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251163581760).

122006016000 is an abundant number, since it is smaller than the sum of its proper divisors (380321147520).

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

122006016000 is a wasteful number, since it uses less digits than its factorization.

122006016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122006016000 its reverse (610600221), we get a palindrome (122616616221).

The spelling of 122006016000 in words is "one hundred twenty-two billion, six million, sixteen thousand".