122120023032000 has 1344 divisors, whose sum is σ = 521514553697280. Its totient is φ = 27896037120000.

The previous prime is 122120023031891. The next prime is 122120023032011. The reversal of 122120023032000 is 230320021221.

122120023032000 is a `hidden beast` number, since 12 + 21 + 200 + 230 + 3 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26999781739 + ... + 26999786261.

Almost surely, 2^{122120023032000} is an apocalyptic number.

122120023032000 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 122120023032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260757276848640).

122120023032000 is an abundant number, since it is smaller than the sum of its proper divisors (399394530665280).

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

122120023032000 is a wasteful number, since it uses less digits than its factorization.

122120023032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7124 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122120023032000 its reverse (230320021221), we get a palindrome (122350343053221).

The spelling of 122120023032000 in words is "one hundred twenty-two trillion, one hundred twenty billion, twenty-three million, thirty-two thousand".