220133100000 has 576 divisors, whose sum is σ = 807639807744. Its totient is φ = 52032000000.

The previous prime is 220133099999. The next prime is 220133100043. The reversal of 220133100000 is 1331022.

It is a happy number.

It is a super-2 number, since 2×220133100000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135299187 + ... + 135300813.

It is an arithmetic number, because the mean of its divisors is an integer number (1402152444).

Almost surely, 2^220133100000 is an apocalyptic number.

220133100000 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 220133100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403819903872).

220133100000 is an abundant number, since it is smaller than the sum of its proper divisors (587506707744).

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

220133100000 is a wasteful number, since it uses less digits than its factorization.

220133100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 220133100000 its reverse (1331022), we get a palindrome (220134431022).

The spelling of 220133100000 in words is "two hundred twenty billion, one hundred thirty-three million, one hundred thousand".