211321214000 has 160 divisors (see below), whose sum is σ = 552658002624. Its totient is φ = 77689190400.

The previous prime is 211321213979. The next prime is 211321214047. The reversal of 211321214000 is 412123112.

It is a self number, because there is not a number n which added to its sum of digits gives 211321214000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6040559 + ... + 6075441.

Almost surely, 2^211321214000 is an apocalyptic number.

211321214000 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 211321214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276329001312).

211321214000 is an abundant number, since it is smaller than the sum of its proper divisors (341336788624).

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

211321214000 is a wasteful number, since it uses less digits than its factorization.

211321214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35152 (or 35136 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 211321214000 its reverse (412123112), we get a palindrome (211733337112).

It can be divided in two parts, 2113212 and 14000, that added together give a palindrome (2127212).

The spelling of 211321214000 in words is "two hundred eleven billion, three hundred twenty-one million, two hundred fourteen thousand".