214020312000 has 448 divisors, whose sum is σ = 772687019520. Its totient is φ = 51766272000.

The previous prime is 214020311983. The next prime is 214020312041. The reversal of 214020312000 is 213020412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195095452 + ... + 195096548.

Almost surely, 2^214020312000 is an apocalyptic number.

214020312000 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 214020312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386343509760).

214020312000 is an abundant number, since it is smaller than the sum of its proper divisors (558666707520).

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

214020312000 is a wasteful number, since it uses less digits than its factorization.

214020312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 214020312000 its reverse (213020412), we get a palindrome (214233332412).

The spelling of 214020312000 in words is "two hundred fourteen billion, twenty million, three hundred twelve thousand".