212373064890000 has 1200 divisors, whose sum is σ = 881488805188992. Its totient is φ = 48473344512000.

The previous prime is 212373064889939. The next prime is 212373064890029. The reversal of 212373064890000 is 98460373212.

212373064890000 is a `hidden beast` number, since 21 + 237 + 306 + 4 + 8 + 90 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12468321484 + ... + 12468338516.

Almost surely, 2^{212373064890000} is an apocalyptic number.

212373064890000 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 212373064890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440744402594496).

212373064890000 is an abundant number, since it is smaller than the sum of its proper divisors (669115740298992).

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

212373064890000 is an equidigital number, since it uses as much as digits as its factorization.

212373064890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17816 (or 17783 counting only the distinct ones).

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

The spelling of 212373064890000 in words is "two hundred twelve trillion, three hundred seventy-three billion, sixty-four million, eight hundred ninety thousand".