122202021222000 has 320 divisors, whose sum is σ = 439458171984000. Its totient is φ = 32460403507200.

The previous prime is 122202021221989. The next prime is 122202021222023. The reversal of 122202021222000 is 222120202221.

122202021222000 is a `hidden beast` number, since 12 + 220 + 2 + 0 + 212 + 220 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9475276 + ... + 18280724.

It is an arithmetic number, because the mean of its divisors is an integer number (1373306787450).

Almost surely, 2^{122202021222000} is an apocalyptic number.

122202021222000 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 122202021222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219729085992000).

122202021222000 is an abundant number, since it is smaller than the sum of its proper divisors (317256150762000).

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

122202021222000 is a wasteful number, since it uses less digits than its factorization.

122202021222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8805738 (or 8805716 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122202021222000 its reverse (222120202221), we get a palindrome (122424141424221).

The spelling of 122202021222000 in words is "one hundred twenty-two trillion, two hundred two billion, twenty-one million, two hundred twenty-two thousand".