214222124000 has 96 divisors (see below), whose sum is σ = 526489419456. Its totient is φ = 85665139200.

The previous prime is 214222123979. The next prime is 214222124003. The reversal of 214222124000 is 421222412.

It is a super-2 number, since 2×214222124000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214222124003) 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, 24983714 + ... + 24992286.

It is an arithmetic number, because the mean of its divisors is an integer number (5484264786).

Almost surely, 2^214222124000 is an apocalyptic number.

214222124000 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 214222124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263244709728).

214222124000 is an abundant number, since it is smaller than the sum of its proper divisors (312267295456).

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

214222124000 is an equidigital number, since it uses as much as digits as its factorization.

214222124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14845 (or 14827 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 214222124000 its reverse (421222412), we get a palindrome (214643346412).

The spelling of 214222124000 in words is "two hundred fourteen billion, two hundred twenty-two million, one hundred twenty-four thousand".