214052120000 has 140 divisors (see below), whose sum is σ = 536752434240. Its totient is φ = 84657408000.

The previous prime is 214052119993. The next prime is 214052120011. The reversal of 214052120000 is 21250412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3529937 + ... + 3590063.

Almost surely, 2^214052120000 is an apocalyptic number.

214052120000 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 214052120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268376217120).

214052120000 is an abundant number, since it is smaller than the sum of its proper divisors (322700314240).

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

214052120000 is an frugal number, since it uses more digits than its factorization.

214052120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60248 (or 60223 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 214052120000 its reverse (21250412), we get a palindrome (214073370412).

The spelling of 214052120000 in words is "two hundred fourteen billion, fifty-two million, one hundred twenty thousand".