122321002221000 has 1536 divisors, whose sum is σ = 467882152657920. Its totient is φ = 28563591168000.

The previous prime is 122321002220999. The next prime is 122321002221017. The reversal of 122321002221000 is 122200123221.

122321002221000 is a `hidden beast` number, since 1 + 22 + 321 + 0 + 0 + 222 + 100 + 0 = 666.

It is a super-3 number, since 3×122321002221000³ (a number of 43 digits) contains 333 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 383 ways as a sum of consecutive naturals, for example, 243182906749 + ... + 243182907251.

It is an arithmetic number, because the mean of its divisors is an integer number (304610776470).

Almost surely, 2^{122321002221000} is an apocalyptic number.

122321002221000 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 122321002221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233941076328960).

122321002221000 is an abundant number, since it is smaller than the sum of its proper divisors (345561150436920).

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

122321002221000 is a wasteful number, since it uses less digits than its factorization.

122321002221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1095 counting only the distinct ones).

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

Adding to 122321002221000 its reverse (122200123221), we get a palindrome (122443202344221).

The spelling of 122321002221000 in words is "one hundred twenty-two trillion, three hundred twenty-one billion, two million, two hundred twenty-one thousand".