Search a number
-
+
120200121120 = 25351714730407
BaseRepresentation
bin110111111110001111…
…1000100101100100000
3102111020221201211001210
41233330133010230200
53432132212333440
6131115201430120
711453446112622
oct1577437045440
9374227654053
10120200121120
1146a81920082
121b36693b340
13b4477b4831
145b63b5ac12
1531d7835a80
hex1bfc7c4b20

120200121120 has 96 divisors (see below), whose sum is σ = 400902784128. Its totient is φ = 30167871488.

The previous prime is 120200121113. The next prime is 120200121121. The reversal of 120200121120 is 21121002021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120200121096 and 120200121105.

It is not an unprimeable number, because it can be changed into a prime (120200121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7357044 + ... + 7373363.

It is an arithmetic number, because the mean of its divisors is an integer number (4176070668).

Almost surely, 2120200121120 is an apocalyptic number.

120200121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120200121120 is an abundant number, since it is smaller than the sum of its proper divisors (280702663008).

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

120200121120 is a wasteful number, since it uses less digits than its factorization.

120200121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14730442 (or 14730434 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120200121120 its reverse (21121002021), we get a palindrome (141321123141).

The spelling of 120200121120 in words is "one hundred twenty billion, two hundred million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 14730407 29460814 44191221 58921628 73652035 88382442 117843256 147304070 176764884 220956105 235686512 250416919 294608140 353529768 441912210 471373024 500833838 589216280 707059536 751250757 883824420 1001667676 1178432560 1252084595 1414119072 1502501514 1767648840 2003335352 2356865120 2504169190 3005003028 3535297680 3756253785 4006670704 5008338380 6010006056 7070595360 7512507570 8013341408 10016676760 12020012112 15025015140 20033353520 24040024224 30050030280 40066707040 60100060560 120200121120