212122123000 has 192 divisors, whose sum is σ = 521096677920. Its totient is φ = 80814272000.

The previous prime is 212122122983. The next prime is 212122123001. The reversal of 212122123000 is 321221212.

It is a happy number.

212122123000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122123001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148648287 + ... + 148649713.

Almost surely, 2^212122123000 is an apocalyptic number.

212122123000 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 212122123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260548338960).

212122123000 is an abundant number, since it is smaller than the sum of its proper divisors (308974554920).

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

212122123000 is a wasteful number, since it uses less digits than its factorization.

212122123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212122123000 its reverse (321221212), we get a palindrome (212443344212).

The spelling of 212122123000 in words is "two hundred twelve billion, one hundred twenty-two million, one hundred twenty-three thousand".