212034021144 has 256 divisors, whose sum is σ = 605079797760. Its totient is φ = 61360320000.

The previous prime is 212034021127. The next prime is 212034021151. The reversal of 212034021144 is 441120430212.

212034021144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212034021144² (a number of 23 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88976577 + ... + 88978959.

It is an arithmetic number, because the mean of its divisors is an integer number (2363592960).

Almost surely, 2^212034021144 is an apocalyptic number.

212034021144 is a gapful number since it is divisible by the number (24) 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 212034021144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302539898880).

212034021144 is an abundant number, since it is smaller than the sum of its proper divisors (393045776616).

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

212034021144 is a wasteful number, since it uses less digits than its factorization.

212034021144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212034021144 its reverse (441120430212), we get a palindrome (653154451356).

The spelling of 212034021144 in words is "two hundred twelve billion, thirty-four million, twenty-one thousand, one hundred forty-four".