212944896000 has 480 divisors, whose sum is σ = 787603340160. Its totient is φ = 56770560000.

The previous prime is 212944895993. The next prime is 212944896011. The reversal of 212944896000 is 698449212.

212944896000 is a `hidden beast` number, since 21 + 2 + 94 + 489 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55294075 + ... + 55297925.

It is an arithmetic number, because the mean of its divisors is an integer number (1640840292).

Almost surely, 2^212944896000 is an apocalyptic number.

212944896000 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 212944896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393801670080).

212944896000 is an abundant number, since it is smaller than the sum of its proper divisors (574658444160).

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

212944896000 is an frugal number, since it uses more digits than its factorization.

212944896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 212944896000 in words is "two hundred twelve billion, nine hundred forty-four million, eight hundred ninety-six thousand".