212214544000 has 128 divisors (see below), whose sum is σ = 537575622480. Its totient is φ = 83283865600.

The previous prime is 212214543949. The next prime is 212214544027. The reversal of 212214544000 is 445412212.

It can be written as a sum of positive squares in 8 ways, for example, as 47444544 + 212167099456 = 6888^2 + 460616^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 722874 + ... + 973126.

Almost surely, 2^212214544000 is an apocalyptic number.

212214544000 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 212214544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268787811240).

212214544000 is an abundant number, since it is smaller than the sum of its proper divisors (325361078480).

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

212214544000 is an equidigital number, since it uses as much as digits as its factorization.

212214544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250335 (or 250313 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 212214544000 its reverse (445412212), we get a palindrome (212659956212).

The spelling of 212214544000 in words is "two hundred twelve billion, two hundred fourteen million, five hundred forty-four thousand".