214121412 has 72 divisors (see below), whose sum is σ = 572644800. Its totient is φ = 67272768.

The previous prime is 214121377. The next prime is 214121417.

214121412 is nontrivially palindromic in base 10.

214121412 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (214121417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155953 + ... + 157319.

It is an arithmetic number, because the mean of its divisors is an integer number (7953400).

Almost surely, 2^214121412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214121412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286322400).

214121412 is an abundant number, since it is smaller than the sum of its proper divisors (358523388).

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

214121412 is a wasteful number, since it uses less digits than its factorization.

214121412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1620 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 214121412 is about 14632.8880266337. Note that the first 3 decimals coincide. The cubic root of 214121412 is about 598.2554994454.

The spelling of 214121412 in words is "two hundred fourteen million, one hundred twenty-one thousand, four hundred twelve".