22121221210000 has 300 divisors, whose sum is σ = 58904947345552. Its totient is φ = 8039196000000.

The previous prime is 22121221209953. The next prime is 22121221210001. The reversal of 22121221210000 is 1212212122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22121221210001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2433305455 + ... + 2433314545.

Almost surely, 2^{22121221210000} is an apocalyptic number.

22121221210000 is a gapful number since it is divisible by the number (20) 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 22121221210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29452473672776).

22121221210000 is an abundant number, since it is smaller than the sum of its proper divisors (36783726135552).

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

22121221210000 is a wasteful number, since it uses less digits than its factorization.

22121221210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11152 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22121221210000 its reverse (1212212122), we get a palindrome (22122433422122).

It can be divided in two parts, 22121 and 221210000, that multiplied together give a square (4893386410000 = 2212100²).

The spelling of 22121221210000 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred ten thousand".