212140303200000 has 1296 divisors, whose sum is σ = 875717212511232. Its totient is φ = 48379161600000.

The previous prime is 212140303199969. The next prime is 212140303200031. The reversal of 212140303200000 is 2303041212.

212140303200000 is a `hidden beast` number, since 2 + 121 + 40 + 303 + 200 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (212140303199969) and next prime (212140303200031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23335195455 + ... + 23335204545.

Almost surely, 2^{212140303200000} is an apocalyptic number.

212140303200000 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 212140303200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437858606255616).

212140303200000 is an abundant number, since it is smaller than the sum of its proper divisors (663576909311232).

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

212140303200000 is an frugal number, since it uses more digits than its factorization.

212140303200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9608 (or 9571 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212140303200000 its reverse (2303041212), we get a palindrome (212142606241212).

The spelling of 212140303200000 in words is "two hundred twelve trillion, one hundred forty billion, three hundred three million, two hundred thousand".