213014041200 has 180 divisors, whose sum is σ = 740869880400. Its totient is φ = 56676802560.

The previous prime is 213014041199. The next prime is 213014041211. The reversal of 213014041200 is 2140410312.

213014041200 is a `hidden beast` number, since 213 + 0 + 1 + 40 + 412 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1550509 + ... + 1682291.

It is an arithmetic number, because the mean of its divisors is an integer number (4115943780).

Almost surely, 2^213014041200 is an apocalyptic number.

213014041200 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 213014041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370434940200).

213014041200 is an abundant number, since it is smaller than the sum of its proper divisors (527855839200).

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

213014041200 is a wasteful number, since it uses less digits than its factorization.

213014041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132256 (or 132242 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 213014041200 its reverse (2140410312), we get a palindrome (215154451512).

The spelling of 213014041200 in words is "two hundred thirteen billion, fourteen million, forty-one thousand, two hundred".