212967144000 has 1176 divisors, whose sum is σ = 867956310312. Its totient is φ = 51433574400.

The previous prime is 212967143993. The next prime is 212967144017. The reversal of 212967144000 is 441769212.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 143865455616 + 69101688384 = 379296^2 + 262872^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 167 ways as a sum of consecutive naturals, for example, 4018247974 + ... + 4018248026.

It is an arithmetic number, because the mean of its divisors is an integer number (738058087).

Almost surely, 2^212967144000 is an apocalyptic number.

212967144000 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 212967144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433978155156).

212967144000 is an abundant number, since it is smaller than the sum of its proper divisors (654989166312).

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

212967144000 is an frugal number, since it uses more digits than its factorization.

212967144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 212967144000 in words is "two hundred twelve billion, nine hundred sixty-seven million, one hundred forty-four thousand".