214001302000 has 80 divisors (see below), whose sum is σ = 520346829600. Its totient is φ = 85122163200.

The previous prime is 214001301967. The next prime is 214001302007. The reversal of 214001302000 is 203100412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214001302007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59116 + ... + 656884.

It is an arithmetic number, because the mean of its divisors is an integer number (6504335370).

Almost surely, 2^214001302000 is an apocalyptic number.

214001302000 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 214001302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260173414800).

214001302000 is an abundant number, since it is smaller than the sum of its proper divisors (306345527600).

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

214001302000 is a wasteful number, since it uses less digits than its factorization.

214001302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597971 (or 597955 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 214001302000 its reverse (203100412), we get a palindrome (214204402412).

The spelling of 214001302000 in words is "two hundred fourteen billion, one million, three hundred two thousand".