Search a number
-
+
12111001102120 = 235435769491629
BaseRepresentation
bin1011000000111100111111…
…1010110010011100101000
31120212210121111020100002211
42300033033322302130220
53041411312240231440
641431414520534504
72356663616554024
oct260171772623450
946783544210084
1012111001102120
11394a279430838
121437239921434
1369b0a74214bb
142dc265b19384
1516007cd65eea
hexb03cfeb2728

12111001102120 has 32 divisors (see below), whose sum is σ = 27256007118600. Its totient is φ = 4843288505088.

The previous prime is 12111001102073. The next prime is 12111001102127. The reversal of 12111001102120 is 2120110011121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11401333015396 + 709668086724 = 3376586^2 + 842418^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12111001102120.

It is not an unprimeable number, because it can be changed into a prime (12111001102127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34571535 + ... + 34920094.

Almost surely, 212111001102120 is an apocalyptic number.

12111001102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111001102120 is an abundant number, since it is smaller than the sum of its proper divisors (15145006016480).

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

12111001102120 is a wasteful number, since it uses less digits than its factorization.

12111001102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69495997 (or 69495993 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12111001102120 its reverse (2120110011121), we get a palindrome (14231111113241).

The spelling of 12111001102120 in words is "twelve trillion, one hundred eleven billion, one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 4357 8714 17428 21785 34856 43570 87140 174280 69491629 138983258 277966516 347458145 555933032 694916290 1389832580 2779665160 302775027553 605550055106 1211100110212 1513875137765 2422200220424 3027750275530 6055500551060 12111001102120