212133341400032 has 96 divisors (see below), whose sum is σ = 454831930425600. Its totient is φ = 96804431843328.

The previous prime is 212133341400017. The next prime is 212133341400047. The reversal of 212133341400032 is 230004143331212.

It is an interprime number because it is at equal distance from previous prime (212133341400017) and next prime (212133341400047).

It is a junction number, because it is equal to n+sod(n) for n = 212133341399968 and 212133341400004.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1415685818 + ... + 1415835654.

It is an arithmetic number, because the mean of its divisors is an integer number (4737832608600).

Almost surely, 2^{212133341400032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212133341400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227415965212800).

212133341400032 is an abundant number, since it is smaller than the sum of its proper divisors (242698589025568).

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

212133341400032 is a wasteful number, since it uses less digits than its factorization.

212133341400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188188 (or 188180 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 212133341400032 its reverse (230004143331212), we get a palindrome (442137484731244).

The spelling of 212133341400032 in words is "two hundred twelve trillion, one hundred thirty-three billion, three hundred forty-one million, four hundred thousand, thirty-two".