221033112300000 has 6912 divisors, whose sum is σ = 1143660301056000. Its totient is φ = 38967091200000.

The previous prime is 221033112299999. The next prime is 221033112300017. The reversal of 221033112300000 is 3211330122.

221033112300000 is a `hidden beast` number, since 2 + 21 + 0 + 331 + 12 + 300 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×221033112300000² (a number of 29 digits) contains 22 as substring.

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 1151 ways as a sum of consecutive naturals, for example, 633332699826 + ... + 633332700174.

It is an arithmetic number, because the mean of its divisors is an integer number (165460113000).

Almost surely, 2^{221033112300000} is an apocalyptic number.

221033112300000 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 221033112300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571830150528000).

221033112300000 is an abundant number, since it is smaller than the sum of its proper divisors (922627188756000).

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

221033112300000 is a wasteful number, since it uses less digits than its factorization.

221033112300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221033112300000 its reverse (3211330122), we get a palindrome (221036323630122).

The spelling of 221033112300000 in words is "two hundred twenty-one trillion, thirty-three billion, one hundred twelve million, three hundred thousand".