212189560800 has 432 divisors, whose sum is σ = 807567062400. Its totient is φ = 48251427840.

The previous prime is 212189560783. The next prime is 212189560801. The reversal of 212189560800 is 8065981212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212189560801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23397867 + ... + 23406933.

It is an arithmetic number, because the mean of its divisors is an integer number (1869368200).

Almost surely, 2^212189560800 is an apocalyptic number.

212189560800 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 212189560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403783531200).

212189560800 is an abundant number, since it is smaller than the sum of its proper divisors (595377501600).

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

212189560800 is a wasteful number, since it uses less digits than its factorization.

212189560800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9303 (or 9283 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 212189560800 in words is "two hundred twelve billion, one hundred eighty-nine million, five hundred sixty thousand, eight hundred".