212214223014000 has 160 divisors (see below), whose sum is σ = 684356576756736. Its totient is φ = 56575743033600.

The previous prime is 212214223013993. The next prime is 212214223014007. The reversal of 212214223014000 is 410322412212.

It is an interprime number because it is at equal distance from previous prime (212214223013993) and next prime (212214223014007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212214223014007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18485037 + ... + 27678963.

Almost surely, 2^{212214223014000} is an apocalyptic number.

212214223014000 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 212214223014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342178288378368).

212214223014000 is an abundant number, since it is smaller than the sum of its proper divisors (472142353742736).

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

212214223014000 is a wasteful number, since it uses less digits than its factorization.

212214223014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9197800 (or 9197784 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212214223014000 its reverse (410322412212), we get a palindrome (212624545426212).

The spelling of 212214223014000 in words is "two hundred twelve trillion, two hundred fourteen billion, two hundred twenty-three million, fourteen thousand".