29180668729212 has 144 divisors (see below), whose sum is σ = 99037421263872. Its totient is φ = 6996364122240.

The previous prime is 29180668729193. The next prime is 29180668729253. The reversal of 29180668729212 is 21292786608192.

29180668729212 is a `hidden beast` number, since 29 + 180 + 66 + 87 + 292 + 12 = 666.

It is a super-2 number, since 2×29180668729212² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 29180668729212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404846148 + ... + 404918219.

It is an arithmetic number, because the mean of its divisors is an integer number (687759869888).

Almost surely, 2^{29180668729212} is an apocalyptic number.

29180668729212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29180668729212 is an abundant number, since it is smaller than the sum of its proper divisors (69856752534660).

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

29180668729212 is a wasteful number, since it uses less digits than its factorization.

29180668729212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809764408 (or 809764403 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 29180668729212 in words is "twenty-nine trillion, one hundred eighty billion, six hundred sixty-eight million, seven hundred twenty-nine thousand, two hundred twelve".