214120000000 has 320 divisors, whose sum is σ = 550260700704. Its totient is φ = 83200000000.

The previous prime is 214119999931. The next prime is 214120000001. The reversal of 214120000000 is 21412.

It can be written as a sum of positive squares in 16 ways, for example, as 194996429056 + 19123570944 = 441584^2 + 138288^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (214120000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2119999950 + ... + 2120000050.

Almost surely, 2^214120000000 is an apocalyptic number.

214120000000 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 214120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275130350352).

214120000000 is an abundant number, since it is smaller than the sum of its proper divisors (336140700704).

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

214120000000 is an frugal number, since it uses more digits than its factorization.

214120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 214120000000 its reverse (21412), we get a palindrome (214120021412).

214120000000 divided by its reverse (21412) gives a 7-th power (10000000 = 10⁷).

The spelling of 214120000000 in words is "two hundred fourteen billion, one hundred twenty million", and thus it is an aban number.