214023130012300 has 144 divisors (see below), whose sum is σ = 531504856512000. Its totient is φ = 73278808404480.

The previous prime is 214023130012267. The next prime is 214023130012303. The reversal of 214023130012300 is 3210031320412.

It is not an unprimeable number, because it can be changed into a prime (214023130012303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5130090841 + ... + 5130132559.

It is an arithmetic number, because the mean of its divisors is an integer number (3691005948000).

Almost surely, 2^{214023130012300} is an apocalyptic number.

214023130012300 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 214023130012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265752428256000).

214023130012300 is an abundant number, since it is smaller than the sum of its proper divisors (317481726499700).

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

214023130012300 is a wasteful number, since it uses less digits than its factorization.

214023130012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51608 (or 51601 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 214023130012300 its reverse (3210031320412), we get a palindrome (217233161332712).

The spelling of 214023130012300 in words is "two hundred fourteen trillion, twenty-three billion, one hundred thirty million, twelve thousand, three hundred".