212484384000 has 1440 divisors, whose sum is σ = 925981056000. Its totient is φ = 48364646400.

The previous prime is 212484383981. The next prime is 212484384019. The reversal of 212484384000 is 483484212.

212484384000 is a `hidden beast` number, since 2 + 1 + 248 + 4 + 3 + 8 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (212484383981) and next prime (212484384019).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×212484384000² (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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 889055881 + ... + 889056119.

It is an arithmetic number, because the mean of its divisors is an integer number (643042400).

Almost surely, 2^212484384000 is an apocalyptic number.

212484384000 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 212484384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462990528000).

212484384000 is an abundant number, since it is smaller than the sum of its proper divisors (713496672000).

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

212484384000 is an frugal number, since it uses more digits than its factorization.

212484384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 212484384000 in words is "two hundred twelve billion, four hundred eighty-four million, three hundred eighty-four thousand".