122212120221000 has 256 divisors, whose sum is σ = 423690498316800. Its totient is φ = 32588220672000.

The previous prime is 122212120220963. The next prime is 122212120221011. The reversal of 122212120221000 is 122021212221.

It is a happy number.

122212120221000 is a `hidden beast` number, since 12 + 221 + 21 + 202 + 210 + 0 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 577235160 + ... + 577446840.

It is an arithmetic number, because the mean of its divisors is an integer number (1655041009050).

Almost surely, 2^{122212120221000} is an apocalyptic number.

122212120221000 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 122212120221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211845249158400).

122212120221000 is an abundant number, since it is smaller than the sum of its proper divisors (301478378095800).

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

122212120221000 is a wasteful number, since it uses less digits than its factorization.

122212120221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233094 (or 233074 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122212120221000 its reverse (122021212221), we get a palindrome (122334141433221).

The spelling of 122212120221000 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred twenty million, two hundred twenty-one thousand".