210002404200012 has 144 divisors (see below), whose sum is σ = 564428435450880. Its totient is φ = 65698891530624.

The previous prime is 210002404199977. The next prime is 210002404200059.

210002404200012 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 0 + 240 + 420 + 0 + 0 + 1 + 2 = 666.

210002404200012 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1999408 + ... + 20591319.

Almost surely, 2^{210002404200012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210002404200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282214217725440).

210002404200012 is an abundant number, since it is smaller than the sum of its proper divisors (354426031250868).

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

210002404200012 is a wasteful number, since it uses less digits than its factorization.

210002404200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22590972 (or 22590967 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 21000240 and 4200012, that added together give a palindrome (25200252).

The spelling of 210002404200012 in words is "two hundred ten trillion, two billion, four hundred four million, two hundred thousand, twelve".