212460940800 has 720 divisors, whose sum is σ = 811365180912. Its totient is φ = 52907212800.

The previous prime is 212460940753. The next prime is 212460940829. The reversal of 212460940800 is 8049064212.

212460940800 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 609 + 40 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×212460940800² (a number of 23 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 307468455 + ... + 307469145.

Almost surely, 2^212460940800 is an apocalyptic number.

212460940800 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 212460940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405682590456).

212460940800 is an abundant number, since it is smaller than the sum of its proper divisors (598904240112).

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

212460940800 is a wasteful number, since it uses less digits than its factorization.

212460940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 212460940800 in words is "two hundred twelve billion, four hundred sixty million, nine hundred forty thousand, eight hundred".