221135298012 has 144 divisors (see below), whose sum is σ = 583575676320. Its totient is φ = 70537775616.

The previous prime is 221135298001. The next prime is 221135298029. The reversal of 221135298012 is 210892531122.

221135298012 is a `hidden beast` number, since 2 + 2 + 113 + 529 + 8 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71125914 + ... + 71129022.

Almost surely, 2^221135298012 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 221135298012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291787838160).

221135298012 is an abundant number, since it is smaller than the sum of its proper divisors (362440378308).

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

221135298012 is a wasteful number, since it uses less digits than its factorization.

221135298012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 221135298012 in words is "two hundred twenty-one billion, one hundred thirty-five million, two hundred ninety-eight thousand, twelve".