212714127360000 has 2340 divisors, whose sum is σ = 932095399301352. Its totient is φ = 46506442752000.

The previous prime is 212714127359933. The next prime is 212714127360083. The reversal of 212714127360000 is 63721417212.

212714127360000 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 1 + 41 + 2 + 7 + 3 + 600 + 0 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 9248440319989 + ... + 9248440320011.

Almost surely, 2^{212714127360000} is an apocalyptic number.

212714127360000 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 212714127360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466047699650676).

212714127360000 is an abundant number, since it is smaller than the sum of its proper divisors (719381271941352).

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

212714127360000 is an frugal number, since it uses more digits than its factorization.

212714127360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 212714127360000 its reverse (63721417212), we get a palindrome (212777848777212).

The spelling of 212714127360000 in words is "two hundred twelve trillion, seven hundred fourteen billion, one hundred twenty-seven million, three hundred sixty thousand".