212163247296000 has 5120 divisors, whose sum is σ = 1059905361715200. Its totient is φ = 40402354176000.

The previous prime is 212163247295977. The next prime is 212163247296001. The reversal of 212163247296000 is 692742361212.

212163247296000 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 6 + 32 + 4 + 7 + 2 + 9 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212163247296001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 299242943646 + ... + 299242944354.

It is an arithmetic number, because the mean of its divisors is an integer number (207012765960).

Almost surely, 2^{212163247296000} is an apocalyptic number.

212163247296000 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 212163247296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529952680857600).

212163247296000 is an abundant number, since it is smaller than the sum of its proper divisors (847742114419200).

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

212163247296000 is a wasteful number, since it uses less digits than its factorization.

212163247296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 212163247296000 in words is "two hundred twelve trillion, one hundred sixty-three billion, two hundred forty-seven million, two hundred ninety-six thousand".