Search a number
-
+
120120210000021 = 37114196192004931
BaseRepresentation
bin11011010011111110101010…
…011100101000100010010101
3120202022101020222002202022110
4123103332222130220202111
5111221022142230000041
61103250243534221233
734205253532263420
oct3323765234504225
9522271228082273
10120120210000021
1135301771021470
1211580127354819
135204396c8cbba
142193bc623c9b7
15dd4907c8d516
hex6d3faa728895

120120210000021 has 64 divisors (see below), whose sum is σ = 200480368435200. Its totient is φ = 62150584478400.

The previous prime is 120120209999987. The next prime is 120120210000053. The reversal of 120120210000021 is 120000012021021.

It is not a de Polignac number, because 120120210000021 - 29 = 120120209999509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120120209999961 and 120120210000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120210000221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58909926 + ... + 60914856.

It is an arithmetic number, because the mean of its divisors is an integer number (3132505756800).

Almost surely, 2120120210000021 is an apocalyptic number.

120120210000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120120210000021 is a deficient number, since it is larger than the sum of its proper divisors (80360158435179).

120120210000021 is a wasteful number, since it uses less digits than its factorization.

120120210000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005990.

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

Adding to 120120210000021 its reverse (120000012021021), we get a palindrome (240120222021042).

The spelling of 120120210000021 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred ten million, twenty-one", and thus it is an aban number.

Divisors: 1 3 7 11 21 33 77 231 419 619 1257 1857 2933 4333 4609 6809 8799 12999 13827 20427 32263 47663 96789 142989 259361 778083 1815527 2004931 2852971 5446581 6014793 8558913 14034517 19970797 22054241 42103551 59912391 66162723 154379687 463139061 840066089 1241052289 2520198267 3723156867 5880462623 8687366023 9240726979 13651575179 17641387869 26062098069 27722180937 40954725537 64685088853 95561026253 194055266559 286683078759 520000909091 1560002727273 3640006363637 5720010000001 10920019090911 17160030000003 40040070000007 120120210000021