212129516407 has 8 divisors (see below), whose sum is σ = 214547205600. Its totient is φ = 209716537344.

The previous prime is 212129516393. The next prime is 212129516453. The reversal of 212129516407 is 704615921212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212129516407 - 2³¹ = 209982032759 is a prime.

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 212129516407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212129526407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1086907 + ... + 1267132.

It is an arithmetic number, because the mean of its divisors is an integer number (26818400700).

Almost surely, 2^212129516407 is an apocalyptic number.

212129516407 is a deficient number, since it is larger than the sum of its proper divisors (2417689193).

212129516407 is an equidigital number, since it uses as much as digits as its factorization.

212129516407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355065.

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 212129516407 in words is "two hundred twelve billion, one hundred twenty-nine million, five hundred sixteen thousand, four hundred seven".