212323056000 has 768 divisors, whose sum is σ = 782183001600. Its totient is φ = 50907648000.

The previous prime is 212323055957. The next prime is 212323056019. The reversal of 212323056000 is 650323212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 807311869 + ... + 807312131.

It is an arithmetic number, because the mean of its divisors is an integer number (1018467450).

Almost surely, 2^212323056000 is an apocalyptic number.

212323056000 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 212323056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391091500800).

212323056000 is an abundant number, since it is smaller than the sum of its proper divisors (569859945600).

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

212323056000 is a wasteful number, since it uses less digits than its factorization.

212323056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 212323056000 its reverse (650323212), we get a palindrome (212973379212).

The spelling of 212323056000 in words is "two hundred twelve billion, three hundred twenty-three million, fifty-six thousand".