214190124005000 has 320 divisors, whose sum is σ = 609913538942400. Its totient is φ = 69416807040000.

The previous prime is 214190124004999. The next prime is 214190124005009. The reversal of 214190124005000 is 500421091412.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (214190124005009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15570059 + ... + 25899941.

It is an arithmetic number, because the mean of its divisors is an integer number (1905979809195).

Almost surely, 2^{214190124005000} is an apocalyptic number.

214190124005000 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 214190124005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304956769471200).

214190124005000 is an abundant number, since it is smaller than the sum of its proper divisors (395723414937400).

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

214190124005000 is a wasteful number, since it uses less digits than its factorization.

214190124005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329962 (or 10329943 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

Adding to 214190124005000 its reverse (500421091412), we get a palindrome (214690545096412).

The spelling of 214190124005000 in words is "two hundred fourteen trillion, one hundred ninety billion, one hundred twenty-four million, five thousand".