29970297124992 has 96 divisors (see below), whose sum is σ = 98563030750080. Its totient is φ = 8562942033408.

The previous prime is 29970297124931. The next prime is 29970297125011. The reversal of 29970297124992 is 29942179207992.

It is a happy number.

29970297124992 is a `hidden beast` number, since 2 + 9 + 9 + 7 + 0 + 297 + 1 + 249 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 29970297124992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1858269288 + ... + 1858285415.

It is an arithmetic number, because the mean of its divisors is an integer number (1026698236980).

Almost surely, 2^{29970297124992} is an apocalyptic number.

It is an amenable number.

29970297124992 is an abundant number, since it is smaller than the sum of its proper divisors (68592733625088).

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

29970297124992 is a wasteful number, since it uses less digits than its factorization.

29970297124992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716554730 (or 3716554715 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 72.

The spelling of 29970297124992 in words is "twenty-nine trillion, nine hundred seventy billion, two hundred ninety-seven million, one hundred twenty-four thousand, nine hundred ninety-two".