Search a number
-
+
12122112000120 = 2335401532515817
BaseRepresentation
bin1011000001100110011000…
…1011100000000001111000
31120220212021211100102210120
42300121212023200001320
53042102041133000440
641440453230013240
72360536143621453
oct260314613400170
946825254312716
1012122112000120
113953a60223971
12143941a947220
1369c158306b65
142dc9db61649a
151604cd50ddd0
hexb06662e0078

12122112000120 has 64 divisors (see below), whose sum is σ = 36367256149920. Its totient is φ = 3232481409024.

The previous prime is 12122112000029. The next prime is 12122112000133. The reversal of 12122112000120 is 2100021122121.

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 12122112000120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3560452 + ... + 6076268.

Almost surely, 212122112000120 is an apocalyptic number.

12122112000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122112000120 is an abundant number, since it is smaller than the sum of its proper divisors (24245144149800).

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

12122112000120 is a wasteful number, since it uses less digits than its factorization.

12122112000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555984 (or 2555980 counting only the distinct ones).

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

Adding to 12122112000120 its reverse (2100021122121), we get a palindrome (14222133122241).

The spelling of 12122112000120 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 40153 80306 120459 160612 200765 240918 321224 401530 481836 602295 803060 963672 1204590 1606120 2409180 2515817 4818360 5031634 7547451 10063268 12579085 15094902 20126536 25158170 30189804 37737255 50316340 60379608 75474510 100632680 150949020 301898040 101017600001 202035200002 303052800003 404070400004 505088000005 606105600006 808140800008 1010176000010 1212211200012 1515264000015 2020352000020 2424422400024 3030528000030 4040704000040 6061056000060 12122112000120