22121011212120 has 256 divisors, whose sum is σ = 75288927168000. Its totient is φ = 5775235435008.

The previous prime is 22121011212119. The next prime is 22121011212121. The reversal of 22121011212120 is 2121211012122.

22121011212120 is a `hidden beast` number, since 221 + 210 + 1 + 1 + 21 + 212 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22121011212119) and next prime (22121011212121).

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 = 22121011212093 and 22121011212102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121011212121) 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 63 ways as a sum of consecutive naturals, for example, 26317311 + ... + 27144849.

It is an arithmetic number, because the mean of its divisors is an integer number (294097371750).

Almost surely, 2^{22121011212120} is an apocalyptic number.

22121011212120 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 22121011212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37644463584000).

22121011212120 is an abundant number, since it is smaller than the sum of its proper divisors (53167915955880).

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

22121011212120 is a wasteful number, since it uses less digits than its factorization.

22121011212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828079 (or 828069 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22121011212120 its reverse (2121211012122), we get a palindrome (24242222224242).

The spelling of 22121011212120 in words is "twenty-two trillion, one hundred twenty-one billion, eleven million, two hundred twelve thousand, one hundred twenty".