122213123112000 has 448 divisors, whose sum is σ = 407110482395136. Its totient is φ = 32302929254400.

The previous prime is 122213123111969. The next prime is 122213123112007. The reversal of 122213123112000 is 211321312221.

It is not an unprimeable number, because it can be changed into a prime (122213123112007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3313157557 + ... + 3313194443.

Almost surely, 2^{122213123112000} is an apocalyptic number.

122213123112000 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 122213123112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203555241197568).

122213123112000 is an abundant number, since it is smaller than the sum of its proper divisors (284897359283136).

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

122213123112000 is a wasteful number, since it uses less digits than its factorization.

122213123112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38131 (or 38111 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122213123112000 its reverse (211321312221), we get a palindrome (122424444424221).

The spelling of 122213123112000 in words is "one hundred twenty-two trillion, two hundred thirteen billion, one hundred twenty-three million, one hundred twelve thousand".