29413712120319 has 20 divisors (see below), whose sum is σ = 43939648123800. Its totient is φ = 19608853086000.

The previous prime is 29413712120297. The next prime is 29413712120321. The reversal of 29413712120319 is 91302121731492.

29413712120319 is a `hidden beast` number, since 2 + 9 + 41 + 371 + 21 + 203 + 19 = 666.

It is not a de Polignac number, because 29413712120319 - 2¹² = 29413712116223 is a prime.

It is a super-2 number, since 2×29413712120319² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29413712120519) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2945569 + ... + 8216069.

It is an arithmetic number, because the mean of its divisors is an integer number (2196982406190).

Almost surely, 2^{29413712120319} is an apocalyptic number.

29413712120319 is a deficient number, since it is larger than the sum of its proper divisors (14525936003481).

29413712120319 is an equidigital number, since it uses as much as digits as its factorization.

29413712120319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5339412 (or 5339403 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 29413712120319 in words is "twenty-nine trillion, four hundred thirteen billion, seven hundred twelve million, one hundred twenty thousand, three hundred nineteen".