22121212200120 has 512 divisors, whose sum is σ = 80673729408000. Its totient is φ = 5347211950080.

The previous prime is 22121212200053. The next prime is 22121212200223. The reversal of 22121212200120 is 2100221212122.

It is a happy number.

22121212200120 is a `hidden beast` number, since 221 + 2 + 121 + 2 + 200 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22121212200093 and 22121212200102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11044039039 + ... + 11044041041.

It is an arithmetic number, because the mean of its divisors is an integer number (157565877750).

Almost surely, 2^{22121212200120} is an apocalyptic number.

22121212200120 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 22121212200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40336864704000).

22121212200120 is an abundant number, since it is smaller than the sum of its proper divisors (58552517207880).

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

22121212200120 is a wasteful number, since it uses less digits than its factorization.

22121212200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260 (or 4250 counting only the distinct ones).

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

Adding to 22121212200120 its reverse (2100221212122), we get a palindrome (24221433412242).

The spelling of 22121212200120 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred twelve million, two hundred thousand, one hundred twenty".