12124212100 has 405 divisors, whose sum is σ = 36454102335. Its totient is φ = 3488284800.

The previous prime is 12124212097. The next prime is 12124212209. The reversal of 12124212100 is 121242121.

The square root of 12124212100 is 110110.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3125033604 + 8999178496 = 55902^2 + 94864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 932631694 + ... + 932631706.

Almost surely, 2^12124212100 is an apocalyptic number.

12124212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12124212100 is the 110110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12124212100

12124212100 is an abundant number, since it is smaller than the sum of its proper divisors (24329890235).

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

12124212100 is a wasteful number, since it uses less digits than its factorization.

12124212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Multiplying 12124212100 by its sum of digits (16), we get a square (193987393600 = 440440²).

Multiplying 12124212100 by its product of nonzero digits (64), we get a square (775949574400 = 880880²).

Adding to 12124212100 its reverse (121242121), we get a palindrome (12245454221).

12124212100 divided by its reverse (121242121) gives a square (100 = 10²).

The spelling of 12124212100 in words is "twelve billion, one hundred twenty-four million, two hundred twelve thousand, one hundred".