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212110001012220 = 2235373731249120507
BaseRepresentation
bin110000001110100110110101…
…010000110111110111111100
31000211000111222200000120020120
4300032212311100313313330
5210300202240224342340
62031041553403014540
762451304362444543
oct6016466520676774
91024014880016216
10212110001012220
1161648389969803
121b95840a20a450
139147b6c4412bc
143a542709ab15a
15197c7042074d0
hexc0e9b5437dfc

212110001012220 has 192 divisors, whose sum is σ = 611673639768576. Its totient is φ = 54879331783680.

The previous prime is 212110001012201. The next prime is 212110001012237. The reversal of 212110001012220 is 22210100011212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212110001012220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10343287207 + ... + 10343307713.

It is an arithmetic number, because the mean of its divisors is an integer number (3185800207128).

Almost surely, 2212110001012220 is an apocalyptic number.

212110001012220 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 212110001012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305836819884288).

212110001012220 is an abundant number, since it is smaller than the sum of its proper divisors (399563638756356).

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

212110001012220 is a wasteful number, since it uses less digits than its factorization.

212110001012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33420 (or 33418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212110001012220 its reverse (22210100011212), we get a palindrome (234320101023432).

The spelling of 212110001012220 in words is "two hundred twelve trillion, one hundred ten billion, one million, twelve thousand, two hundred twenty".