12216880900 has 81 divisors (see below), whose sum is σ = 30858440949. Its totient is φ = 4185992160.

The previous prime is 12216880877. The next prime is 12216880913. The reversal of 12216880900 is 908861221.

The square root of 12216880900 is 110530.

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

It can be written as a sum of positive squares in only one way, i.e., 4398077124 + 7818803776 = 66318^2 + 88424^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12216880900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7736311 + ... + 7737889.

Almost surely, 2^12216880900 is an apocalyptic number.

12216880900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12216880900 is the 110530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12216880900

12216880900 is an abundant number, since it is smaller than the sum of its proper divisors (18641560049).

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

12216880900 is an equidigital number, since it uses as much as digits as its factorization.

12216880900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

It can be divided in two parts, 12216 and 880900, that added together give a triangular number (893116 = T₁₃₃₆).

The spelling of 12216880900 in words is "twelve billion, two hundred sixteen million, eight hundred eighty thousand, nine hundred".