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220031212023120 = 243519599313725679
BaseRepresentation
bin110010000001111000000010…
…001110110110110101010000
31001212001210000111000121202110
4302001320002032312311100
5212314442410234214440
62055544535433345320
764226505360220401
oct6201700216666520
91055053014017673
10220031212023120
1164121792a92313
1220817633868240
1395a0b14a7b844
143c497d32699a8
151a687b4162080
hexc81e023b6d50

220031212023120 has 320 divisors, whose sum is σ = 719452523520000. Its totient is φ = 55474182586368.

The previous prime is 220031212023109. The next prime is 220031212023127. The reversal of 220031212023120 is 21320212130022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220031212023127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8568514441 + ... + 8568540119.

It is an arithmetic number, because the mean of its divisors is an integer number (2248289136000).

Almost surely, 2220031212023120 is an apocalyptic number.

220031212023120 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 220031212023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359726261760000).

220031212023120 is an abundant number, since it is smaller than the sum of its proper divisors (499421311496880).

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

220031212023120 is a wasteful number, since it uses less digits than its factorization.

220031212023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29450 (or 29444 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 220031212023120 its reverse (21320212130022), we get a palindrome (241351424153142).

The spelling of 220031212023120 in words is "two hundred twenty trillion, thirty-one billion, two hundred twelve million, twenty-three thousand, one hundred twenty".