Search a number
-
+
212120312120 = 23553149966749
BaseRepresentation
bin1100010110001101011…
…0110001100100111000
3202021112000210100001022
43011203112301210320
511433410244441440
6241240254242012
721216352621643
oct3054326614470
9667460710038
10212120312120
1181a61428082
123513a7b6308
13170063899b2
14a3a3a9aa5a
1557b755ccb5
hex31635b1938

212120312120 has 64 divisors (see below), whose sum is σ = 486607500000. Its totient is φ = 83190435328.

The previous prime is 212120312083. The next prime is 212120312143. The reversal of 212120312120 is 21213021212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3144506 + ... + 3211254.

Almost surely, 2212120312120 is an apocalyptic number.

212120312120 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 212120312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243303750000).

212120312120 is an abundant number, since it is smaller than the sum of its proper divisors (274487187880).

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

212120312120 is a wasteful number, since it uses less digits than its factorization.

212120312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68312 (or 68308 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 212120312120 its reverse (21213021212), we get a palindrome (233333333332).

The spelling of 212120312120 in words is "two hundred twelve billion, one hundred twenty million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 1499 2120 2998 5996 7495 11992 14990 29980 59960 66749 79447 133498 158894 266996 317788 333745 397235 533992 635576 667490 794470 1334980 1588940 2669960 3177880 3537697 7075394 14150788 17688485 28301576 35376970 70753940 100056751 141507880 200113502 400227004 500283755 800454008 1000567510 2001135020 4002270040 5303007803 10606015606 21212031212 26515039015 42424062424 53030078030 106060156060 212120312120