122112320000 has 400 divisors, whose sum is σ = 336638266272. Its totient is φ = 43868160000.

The previous prime is 122112319997. The next prime is 122112320027. The reversal of 122112320000 is 23211221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×122112320000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 397759847 + ... + 397760153.

Almost surely, 2^122112320000 is an apocalyptic number.

122112320000 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 122112320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168319133136).

122112320000 is an abundant number, since it is smaller than the sum of its proper divisors (214525946272).

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

122112320000 is an equidigital number, since it uses as much as digits as its factorization.

122112320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 122112320000 its reverse (23211221), we get a palindrome (122135531221).

The spelling of 122112320000 in words is "one hundred twenty-two billion, one hundred twelve million, three hundred twenty thousand".