12114202224400 has 60 divisors (see below), whose sum is σ = 29105538585012. Its totient is φ = 4845486469120.

The previous prime is 12114202224367. The next prime is 12114202224401. The reversal of 12114202224400 is 442220241121.

It can be written as a sum of positive squares in 6 ways, for example, as 226408478976 + 11887793745424 = 475824^2 + 3447868^2 .

It is a super-3 number, since 3×12114202224400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12114202224401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9587964 + ... + 10777636.

Almost surely, 2^{12114202224400} is an apocalyptic number.

12114202224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114202224400 is an abundant number, since it is smaller than the sum of its proper divisors (16991336360612).

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

12114202224400 is a wasteful number, since it uses less digits than its factorization.

12114202224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215148 (or 1215137 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 12114202224400 its reverse (442220241121), we get a palindrome (12556422465521).

The spelling of 12114202224400 in words is "twelve trillion, one hundred fourteen billion, two hundred two million, two hundred twenty-four thousand, four hundred".