214123241000 has 64 divisors (see below), whose sum is σ = 501279976080. Its totient is φ = 85609708800.

The previous prime is 214123240987. The next prime is 214123241009. The reversal of 214123241000 is 142321412.

It can be written as a sum of positive squares in 8 ways, for example, as 132101717764 + 82021523236 = 363458^2 + 286394^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (214123241009) 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, 2164622 + ... + 2261378.

Almost surely, 2^214123241000 is an apocalyptic number.

214123241000 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 214123241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250639988040).

214123241000 is an abundant number, since it is smaller than the sum of its proper divisors (287156735080).

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

214123241000 is a wasteful number, since it uses less digits than its factorization.

214123241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98991 (or 98977 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 214123241000 its reverse (142321412), we get a palindrome (214265562412).

The spelling of 214123241000 in words is "two hundred fourteen billion, one hundred twenty-three million, two hundred forty-one thousand".