214812000000 has 1512 divisors, whose sum is σ = 915476719248. Its totient is φ = 49766400000.

The previous prime is 214811999977. The next prime is 214812000019. The reversal of 214812000000 is 218412.

It is a super-2 number, since 2×214812000000² (a number of 23 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 12635999992 + ... + 12636000008.

Almost surely, 2^214812000000 is an apocalyptic number.

214812000000 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 214812000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457738359624).

214812000000 is an abundant number, since it is smaller than the sum of its proper divisors (700664719248).

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

214812000000 is an frugal number, since it uses more digits than its factorization.

214812000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 214812000000 its reverse (218412), we get a palindrome (214812218412).

The spelling of 214812000000 in words is "two hundred fourteen billion, eight hundred twelve million", and thus it is an aban number.