12435288253421 has 6 divisors (see below), whose sum is σ = 13668539981166. Its totient is φ = 11304807503000.

The previous prime is 12435288253393. The next prime is 12435288253441.

12435288253421 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 7230452102500 + 5204836150921 = 2688950^2 + 2281411^2 .

It is not a de Polignac number, because 12435288253421 - 2⁶ = 12435288253357 is a prime.

It is a super-5 number, since 5×12435288253421⁵ (a number of 67 digits) contains 55555 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12435288253421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12435288253441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51385488530 + ... + 51385488771.

It is an arithmetic number, because the mean of its divisors is an integer number (2278089996861).

Almost surely, 2^{12435288253421} is an apocalyptic number.

12435288253421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12435288253421 is a deficient number, since it is larger than the sum of its proper divisors (1233251727745).

12435288253421 is a wasteful number, since it uses less digits than its factorization.

12435288253421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102770977323 (or 102770977312 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 50.

It can be divided in two parts, 1243528 and 8253421, that added together give a palindrome (9496949).

The spelling of 12435288253421 in words is "twelve trillion, four hundred thirty-five billion, two hundred eighty-eight million, two hundred fifty-three thousand, four hundred twenty-one".