13414121145200 has 60 divisors (see below), whose sum is σ = 32230720306488. Its totient is φ = 5365099987200.

The previous prime is 13414121145167. The next prime is 13414121145209. The reversal of 13414121145200 is 254112141431.

13414121145200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414121145209) 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, 2215334 + ... + 5633466.

Almost surely, 2^{13414121145200} is an apocalyptic number.

13414121145200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13414121145200 is an abundant number, since it is smaller than the sum of its proper divisors (18816599161288).

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

13414121145200 is a wasteful number, since it uses less digits than its factorization.

13414121145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427962 (or 3427951 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 13414121145200 its reverse (254112141431), we get a palindrome (13668233286631).

The spelling of 13414121145200 in words is "thirteen trillion, four hundred fourteen billion, one hundred twenty-one million, one hundred forty-five thousand, two hundred".