220231331100000 has 864 divisors, whose sum is σ = 855484930460160. Its totient is φ = 53294544000000.

The previous prime is 220231331099993. The next prime is 220231331100017. The reversal of 220231331100000 is 1133132022.

220231331100000 is a `hidden beast` number, since 2 + 2 + 0 + 231 + 331 + 100 + 0 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 5652880521 + ... + 5652919479.

It is an arithmetic number, because the mean of its divisors is an integer number (990144595440).

Almost surely, 2^{220231331100000} is an apocalyptic number.

220231331100000 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 220231331100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427742465230080).

220231331100000 is an abundant number, since it is smaller than the sum of its proper divisors (635253599360160).

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

220231331100000 is a wasteful number, since it uses less digits than its factorization.

220231331100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39582 (or 39551 counting only the distinct ones).

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

Adding to 220231331100000 its reverse (1133132022), we get a palindrome (220232464232022).

The spelling of 220231331100000 in words is "two hundred twenty trillion, two hundred thirty-one billion, three hundred thirty-one million, one hundred thousand".