13122414000432 has 120 divisors (see below), whose sum is σ = 40097880031248. Its totient is φ = 3973039718400.

The previous prime is 13122414000431. The next prime is 13122414000433. The reversal of 13122414000432 is 23400041422131.

13122414000432 is a `hidden beast` number, since 1 + 3 + 1 + 224 + 1 + 4 + 0 + 0 + 0 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (13122414000431) and next prime (13122414000433).

It is a junction number, because it is equal to n+sod(n) for n = 13122414000396 and 13122414000405.

It is not an unprimeable number, because it can be changed into a prime (13122414000431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1766169 + ... + 5418872.

Almost surely, 2^{13122414000432} is an apocalyptic number.

13122414000432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13122414000432 is an abundant number, since it is smaller than the sum of its proper divisors (26975466030816).

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

13122414000432 is a wasteful number, since it uses less digits than its factorization.

13122414000432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7186219 (or 7186210 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13122414000432 its reverse (23400041422131), we get a palindrome (36522455422563).

The spelling of 13122414000432 in words is "thirteen trillion, one hundred twenty-two billion, four hundred fourteen million, four hundred thirty-two", and thus it is an aban number.