212511224000 has 112 divisors (see below), whose sum is σ = 527392270080. Its totient is φ = 84825497600.

The previous prime is 212511223993. The next prime is 212511224021. The reversal of 212511224000 is 422115212.

212511224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212511224000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3804272 + ... + 3859728.

Almost surely, 2^212511224000 is an apocalyptic number.

212511224000 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 212511224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263696135040).

212511224000 is an abundant number, since it is smaller than the sum of its proper divisors (314881046080).

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

212511224000 is an equidigital number, since it uses as much as digits as its factorization.

212511224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55963 (or 55943 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 212511224000 its reverse (422115212), we get a palindrome (212933339212).

The spelling of 212511224000 in words is "two hundred twelve billion, five hundred eleven million, two hundred twenty-four thousand".