212312223123000 has 2048 divisors, whose sum is σ = 911954668584960. Its totient is φ = 39694233600000.

The previous prime is 212312223122941. The next prime is 212312223123031. The reversal of 212312223123000 is 321322213212.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 75798721600 + ... + 75798724400.

It is an arithmetic number, because the mean of its divisors is an integer number (445290365520).

Almost surely, 2^{212312223123000} is an apocalyptic number.

212312223123000 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 212312223123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455977334292480).

212312223123000 is an abundant number, since it is smaller than the sum of its proper divisors (699642445461960).

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

212312223123000 is a wasteful number, since it uses less digits than its factorization.

212312223123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 212312223123000 its reverse (321322213212), we get a palindrome (212633545336212).

The spelling of 212312223123000 in words is "two hundred twelve trillion, three hundred twelve billion, two hundred twenty-three million, one hundred twenty-three thousand".