12228169734400 has 81 divisors (see below), whose sum is σ = 30267323185953. Its totient is φ = 4891155993600.

The previous prime is 12228169734359. The next prime is 12228169734409. The reversal of 12228169734400 is 443796182221.

The square root of 12228169734400 is 3496880.

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., 4402141104384 + 7826028630016 = 2098128^2 + 2797504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12228169734409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 279728545 + ... + 279772255.

Almost surely, 2^{12228169734400} is an apocalyptic number.

12228169734400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12228169734400 is the 3496880-th square number.

It is an amenable number.

12228169734400 is an abundant number, since it is smaller than the sum of its proper divisors (18039153451553).

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

12228169734400 is an frugal number, since it uses more digits than its factorization.

12228169734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87448 (or 43718 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 12228169734400 by its sum of digits (49), we get a square (599180316985600 = 24478160²).

The spelling of 12228169734400 in words is "twelve trillion, two hundred twenty-eight billion, one hundred sixty-nine million, seven hundred thirty-four thousand, four hundred".