212032512000 has 448 divisors, whose sum is σ = 784103486400. Its totient is φ = 56534630400.

The previous prime is 212032511983. The next prime is 212032512001. The reversal of 212032512000 is 215230212.

212032512000 is a `hidden beast` number, since 2 + 120 + 32 + 512 + 0 + 0 + 0 = 666.

It is a super-4 number, since 4×212032512000⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212032512001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27644166 + ... + 27651834.

Almost surely, 2^212032512000 is an apocalyptic number.

212032512000 is a gapful number since it is divisible by the number (20) 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 212032512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392051743200).

212032512000 is an abundant number, since it is smaller than the sum of its proper divisors (572070974400).

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

212032512000 is an frugal number, since it uses more digits than its factorization.

212032512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7719 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 212032512000 its reverse (215230212), we get a palindrome (212247742212).

The spelling of 212032512000 in words is "two hundred twelve billion, thirty-two million, five hundred twelve thousand".