213002404120 has 128 divisors (see below), whose sum is σ = 531022314240. Its totient is φ = 76242608640.

The previous prime is 213002404073. The next prime is 213002404129. The reversal of 213002404120 is 21404200312.

213002404120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213002404129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79093494 + ... + 79096186.

It is an arithmetic number, because the mean of its divisors is an integer number (4148611830).

Almost surely, 2^213002404120 is an apocalyptic number.

213002404120 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 213002404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265511157120).

213002404120 is an abundant number, since it is smaller than the sum of its proper divisors (318019910120).

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

213002404120 is a wasteful number, since it uses less digits than its factorization.

213002404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 213002404120 its reverse (21404200312), we get a palindrome (234406604432).

The spelling of 213002404120 in words is "two hundred thirteen billion, two million, four hundred four thousand, one hundred twenty".