12122010000 has 225 divisors, whose sum is σ = 42508245351. Its totient is φ = 3223728000.

The previous prime is 12122009989. The next prime is 12122010071. The reversal of 12122010000 is 1022121.

The square root of 12122010000 is 110100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 950365584 + 11171644416 = 30828^2 + 105696^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33029817 + ... + 33030183.

Almost surely, 2^12122010000 is an apocalyptic number.

12122010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122010000 is the 110100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122010000

12122010000 is an abundant number, since it is smaller than the sum of its proper divisors (30386235351).

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

12122010000 is an frugal number, since it uses more digits than its factorization.

12122010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12122010000 its reverse (1022121), we get a palindrome (12123032121).

The spelling of 12122010000 in words is "twelve billion, one hundred twenty-two million, ten thousand".