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120200000120 = 23541439111871
BaseRepresentation
bin110111111110001111…
…0100111001001111000
3102111020221111200002022
41233330132213021320
53432132200000440
6131115155054012
711453445100064
oct1577436471170
9374227450068
10120200000120
1146a81848182
121b3668a1308
13b447771735
145b63b28aa4
1531d780ecb5
hex1bfc7a7278

120200000120 has 128 divisors (see below), whose sum is σ = 283952148480. Its totient is φ = 45741696000.

The previous prime is 120200000119. The next prime is 120200000147. The reversal of 120200000120 is 21000002021.

120200000120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 120200000098 and 120200000107.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 64242785 + ... + 64244655.

It is an arithmetic number, because the mean of its divisors is an integer number (2218376160).

Almost surely, 2120200000120 is an apocalyptic number.

120200000120 is a gapful number since it is divisible by the number (10) 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 120200000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141976074240).

120200000120 is an abundant number, since it is smaller than the sum of its proper divisors (163752148360).

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

120200000120 is a wasteful number, since it uses less digits than its factorization.

120200000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2873 counting only the distinct ones).

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

Adding to 120200000120 its reverse (21000002021), we get a palindrome (141200002141).

The spelling of 120200000120 in words is "one hundred twenty billion, two hundred million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 41 43 82 86 164 172 205 215 328 344 410 430 820 860 911 1640 1720 1763 1822 1871 3526 3644 3742 4555 7052 7288 7484 8815 9110 9355 14104 14968 17630 18220 18710 35260 36440 37351 37420 39173 70520 74702 74840 76711 78346 80453 149404 153422 156692 160906 186755 195865 298808 306844 313384 321812 373510 383555 391730 402265 613688 643624 747020 767110 783460 804530 1494040 1534220 1566920 1606093 1609060 1704481 3068440 3212186 3218120 3298573 3408962 6424372 6597146 6817924 8030465 8522405 12848744 13194292 13635848 16060930 16492865 17044810 26388584 32121860 32985730 34089620 64243720 65971460 68179240 69883721 73292683 131942920 139767442 146585366 279534884 293170732 349418605 366463415 559069768 586341464 698837210 732926830 1397674420 1465853660 2795348840 2931707320 3005000003 6010000006 12020000012 15025000015 24040000024 30050000030 60100000060 120200000120