122022212121000 has 192 divisors, whose sum is σ = 425739435264000. Its totient is φ = 31489603056000.

The previous prime is 122022212120993. The next prime is 122022212121011. The reversal of 122022212121000 is 121212220221.

It is a happy number.

122022212121000 is a `hidden beast` number, since 1 + 220 + 2 + 221 + 212 + 10 + 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 47 ways as a sum of consecutive naturals, for example, 218398800 + ... + 218956799.

It is an arithmetic number, because the mean of its divisors is an integer number (2217392892000).

Almost surely, 2^{122022212121000} is an apocalyptic number.

122022212121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022212121000 is an abundant number, since it is smaller than the sum of its proper divisors (303717223143000).

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

122022212121000 is a wasteful number, since it uses less digits than its factorization.

122022212121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437355657 (or 437355640 counting only the distinct ones).

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

Adding to 122022212121000 its reverse (121212220221), we get a palindrome (122143424341221).

The spelling of 122022212121000 in words is "one hundred twenty-two trillion, twenty-two billion, two hundred twelve million, one hundred twenty-one thousand".