214102200312 has 384 divisors, whose sum is σ = 785019755520. Its totient is φ = 51331104000.

The previous prime is 214102200293. The next prime is 214102200353. The reversal of 214102200312 is 213002201412.

It is a happy number.

214102200312 is a `hidden beast` number, since 2 + 1 + 410 + 220 + 0 + 31 + 2 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8708437 + ... + 8732987.

It is an arithmetic number, because the mean of its divisors is an integer number (2044322280).

Almost surely, 2^214102200312 is an apocalyptic number.

214102200312 is a gapful number since it is divisible by the number (22) 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 214102200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392509877760).

214102200312 is an abundant number, since it is smaller than the sum of its proper divisors (570917555208).

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

214102200312 is a wasteful number, since it uses less digits than its factorization.

214102200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24616 (or 24587 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 214102200312 its reverse (213002201412), we get a palindrome (427104401724).

It can be divided in two parts, 214102 and 200312, that added together give a palindrome (414414).

The spelling of 214102200312 in words is "two hundred fourteen billion, one hundred two million, two hundred thousand, three hundred twelve".