212345512516033 has 128 divisors (see below), whose sum is σ = 260769535488000. Its totient is φ = 171069595038720.

The previous prime is 212345512516021. The next prime is 212345512516063. The reversal of 212345512516033 is 330615215543212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212345512516033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212345512516063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2383637110 + ... + 2383726192.

It is an arithmetic number, because the mean of its divisors is an integer number (2037261996000).

Almost surely, 2^{212345512516033} is an apocalyptic number.

It is an amenable number.

212345512516033 is a deficient number, since it is larger than the sum of its proper divisors (48424022971967).

212345512516033 is a wasteful number, since it uses less digits than its factorization.

212345512516033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89367.

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 212345512516033 in words is "two hundred twelve trillion, three hundred forty-five billion, five hundred twelve million, five hundred sixteen thousand, thirty-three".