212072515200 has 1920 divisors, whose sum is σ = 993296008320. Its totient is φ = 43535646720.

The previous prime is 212072515147. The next prime is 212072515219. The reversal of 212072515200 is 2515270212.

212072515200 is a `hidden beast` number, since 2 + 1 + 20 + 72 + 51 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5731689582 + ... + 5731689618.

It is an arithmetic number, because the mean of its divisors is an integer number (517341671).

Almost surely, 2^212072515200 is an apocalyptic number.

212072515200 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 212072515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496648004160).

212072515200 is an abundant number, since it is smaller than the sum of its proper divisors (781223493120).

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

212072515200 is an frugal number, since it uses more digits than its factorization.

212072515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 212072515200 its reverse (2515270212), we get a palindrome (214587785412).

The spelling of 212072515200 in words is "two hundred twelve billion, seventy-two million, five hundred fifteen thousand, two hundred".