12122222202000 has 240 divisors, whose sum is σ = 42758084669040. Its totient is φ = 3200586240000.

The previous prime is 12122222201989. The next prime is 12122222202043. The reversal of 12122222202000 is 20222222121.

12122222202000 is a `hidden beast` number, since 1 + 21 + 2 + 222 + 220 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9817639056 + 12112404562944 = 99084^2 + 3480288^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12122222202000² (a number of 27 digits) contains 22 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 47 ways as a sum of consecutive naturals, for example, 1515945 + ... + 5151944.

It is an arithmetic number, because the mean of its divisors is an integer number (178158686121).

Almost surely, 2^{12122222202000} is an apocalyptic number.

12122222202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122222202000 is an abundant number, since it is smaller than the sum of its proper divisors (30635862467040).

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

12122222202000 is a wasteful number, since it uses less digits than its factorization.

12122222202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6668019 (or 6668000 counting only the distinct ones).

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

Adding to 12122222202000 its reverse (20222222121), we get a palindrome (12142444424121).

The spelling of 12122222202000 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred two thousand".