212013103104 has 192 divisors, whose sum is σ = 685129536000. Its totient is φ = 64246210560.

The previous prime is 212013103061. The next prime is 212013103121. The reversal of 212013103104 is 401301310212.

212013103104 is a `hidden beast` number, since 21 + 20 + 1 + 310 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433977 + ... + 782535.

It is an arithmetic number, because the mean of its divisors is an integer number (3568383000).

Almost surely, 2^212013103104 is an apocalyptic number.

212013103104 is a gapful number since it is divisible by the number (24) 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 212013103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342564768000).

212013103104 is an abundant number, since it is smaller than the sum of its proper divisors (473116432896).

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

212013103104 is a wasteful number, since it uses less digits than its factorization.

212013103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348601 (or 348575 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212013103104 its reverse (401301310212), we get a palindrome (613314413316).

The spelling of 212013103104 in words is "two hundred twelve billion, thirteen million, one hundred three thousand, one hundred four".