219122000000 has 168 divisors, whose sum is σ = 547311646665. Its totient is φ = 87384000000.

The previous prime is 219121999973. The next prime is 219122000039. The reversal of 219122000000 is 221912.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 37366436416 + 181755563584 = 193304^2 + 426328^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=331000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 661999835 + ... + 662000165.

Almost surely, 2^219122000000 is an apocalyptic number.

219122000000 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 219122000000

219122000000 is an abundant number, since it is smaller than the sum of its proper divisors (328189646665).

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

219122000000 is an frugal number, since it uses more digits than its factorization.

219122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Multiplying 219122000000 by its product of nonzero digits (72), we get a square (15776784000000 = 3972000²).

Adding to 219122000000 its reverse (221912), we get a palindrome (219122221912).

The spelling of 219122000000 in words is "two hundred nineteen billion, one hundred twenty-two million", and thus it is an aban number.