122212320120000 has 840 divisors, whose sum is σ = 477836617898640. Its totient is φ = 29608104960000.

The previous prime is 122212320119999. The next prime is 122212320120031. The reversal of 122212320120000 is 21023212221.

122212320120000 is a `hidden beast` number, since 1 + 2 + 221 + 2 + 320 + 120 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×122212320120000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6704270886 + ... + 6704289114.

It is an arithmetic number, because the mean of its divisors is an integer number (568853116546).

Almost surely, 2^{122212320120000} is an apocalyptic number.

122212320120000 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 122212320120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238918308949320).

122212320120000 is an abundant number, since it is smaller than the sum of its proper divisors (355624297778640).

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

122212320120000 is a wasteful number, since it uses less digits than its factorization.

122212320120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19971 (or 19943 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122212320120000 its reverse (21023212221), we get a palindrome (122233343332221).

The spelling of 122212320120000 in words is "one hundred twenty-two trillion, two hundred twelve billion, three hundred twenty million, one hundred twenty thousand".