212034952272 has 240 divisors, whose sum is σ = 648954892800. Its totient is φ = 59136330240.

The previous prime is 212034952201. The next prime is 212034952273. The reversal of 212034952272 is 272259430212.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 212034952272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212034952273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32030979 + ... + 32037597.

It is an arithmetic number, because the mean of its divisors is an integer number (2703978720).

Almost surely, 2^212034952272 is an apocalyptic number.

212034952272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212034952272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324477446400).

212034952272 is an abundant number, since it is smaller than the sum of its proper divisors (436919940528).

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

212034952272 is a wasteful number, since it uses less digits than its factorization.

212034952272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7026 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 212034952272 in words is "two hundred twelve billion, thirty-four million, nine hundred fifty-two thousand, two hundred seventy-two".