21121122210012 has 48 divisors (see below), whose sum is σ = 59736507264000. Its totient is φ = 6400340063280.

The previous prime is 21121122209917. The next prime is 21121122210037. The reversal of 21121122210012 is 21001222112112.

21121122210012 is a `hidden beast` number, since 211 + 211 + 22 + 210 + 0 + 12 = 666.

It is a super-2 number, since 2×21121122210012² (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 a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8889360012 + ... + 8889362387.

It is an arithmetic number, because the mean of its divisors is an integer number (1244510568000).

Almost surely, 2^{21121122210012} is an apocalyptic number.

21121122210012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21121122210012 is an abundant number, since it is smaller than the sum of its proper divisors (38615385053988).

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

21121122210012 is a wasteful number, since it uses less digits than its factorization.

21121122210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17778722423 (or 17778722415 counting only the distinct ones).

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

Adding to 21121122210012 its reverse (21001222112112), we get a palindrome (42122344322124).

The spelling of 21121122210012 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred ten thousand, twelve".