212431023000 has 1152 divisors, whose sum is σ = 879232423680. Its totient is φ = 46071244800.

The previous prime is 212431022939. The next prime is 212431023011. The reversal of 212431023000 is 320134212.

212431023000 is a `hidden beast` number, since 2 + 1 + 2 + 431 + 0 + 230 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 766898862 + ... + 766899138.

It is an arithmetic number, because the mean of its divisors is an integer number (763222590).

Almost surely, 2^212431023000 is an apocalyptic number.

212431023000 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 212431023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439616211840).

212431023000 is an abundant number, since it is smaller than the sum of its proper divisors (666801400680).

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

212431023000 is a wasteful number, since it uses less digits than its factorization.

212431023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212431023000 its reverse (320134212), we get a palindrome (212751157212).

The spelling of 212431023000 in words is "two hundred twelve billion, four hundred thirty-one million, twenty-three thousand".