21200000000212 has 144 divisors (see below), whose sum is σ = 43370760424320. Its totient is φ = 9040238887680.

The previous prime is 21200000000183. The next prime is 21200000000279.

21200000000212 is nontrivially palindromic in base 10.

It is a congruent number.

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, 2414849239 + ... + 2414858017.

It is an arithmetic number, because the mean of its divisors is an integer number (301185836280).

Almost surely, 2^{21200000000212} is an apocalyptic number.

21200000000212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21200000000212 is an abundant number, since it is smaller than the sum of its proper divisors (22170760424108).

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

21200000000212 is a wasteful number, since it uses less digits than its factorization.

21200000000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12974 (or 12961 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

It can be divided in two parts, 21200000000 and 212, that multiplied together give a square (4494400000000 = 2120000²).

The spelling of 21200000000212 in words is "twenty-one trillion, two hundred billion, two hundred twelve", and thus it is an aban number.