214124020 has 72 divisors (see below), whose sum is σ = 515878272. Its totient is φ = 74458560.

The previous prime is 214123999. The next prime is 214124033. The reversal of 214124020 is 20421412.

214124020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214123985 and 214124003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53737 + ... + 57583.

It is an arithmetic number, because the mean of its divisors is an integer number (7164976).

Almost surely, 2^214124020 is an apocalyptic number.

214124020 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 214124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257939136).

214124020 is an abundant number, since it is smaller than the sum of its proper divisors (301754252).

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

214124020 is a wasteful number, since it uses less digits than its factorization.

214124020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 214124020 is about 14632.9771406915. The cubic root of 214124020 is about 598.2579283540.

Adding to 214124020 its reverse (20421412), we get a palindrome (234545432).

The spelling of 214124020 in words is "two hundred fourteen million, one hundred twenty-four thousand, twenty".