212123100000 has 576 divisors, whose sum is σ = 805655434752. Its totient is φ = 47861760000.

The previous prime is 212123099963. The next prime is 212123100001. The reversal of 212123100000 is 1321212.

It is a super-2 number, since 2×212123100000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212123100001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174299392 + ... + 174300608.

It is an arithmetic number, because the mean of its divisors is an integer number (1398707352).

Almost surely, 2^212123100000 is an apocalyptic number.

212123100000 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 212123100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402827717376).

212123100000 is an abundant number, since it is smaller than the sum of its proper divisors (593532334752).

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

212123100000 is an equidigital number, since it uses as much as digits as its factorization.

212123100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 212123100000 its reverse (1321212), we get a palindrome (212124421212).

The spelling of 212123100000 in words is "two hundred twelve billion, one hundred twenty-three million, one hundred thousand".