Search a number
-
+
120020201220 = 223519087104801
BaseRepresentation
bin110111111000111000…
…0101110111100000100
3102110210102011221100210
41233301300232330010
53431300132414340
6131045253235420
711446132610043
oct1576160567404
9373712157323
10120020201220
114699a302647
121b316632b70
13b41943b25a
145b47cc455a
1531c6b46180
hex1bf1c2ef04

120020201220 has 48 divisors (see below), whose sum is σ = 336077376768. Its totient is φ = 32003404800.

The previous prime is 120020201179. The next prime is 120020201227. The reversal of 120020201220 is 22102020021.

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 = 120020201196 and 120020201205.

It is not an unprimeable number, because it can be changed into a prime (120020201227) 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, 1092820 + ... + 1197620.

It is an arithmetic number, because the mean of its divisors is an integer number (7001612016).

Almost surely, 2120020201220 is an apocalyptic number.

120020201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020201220 is an abundant number, since it is smaller than the sum of its proper divisors (216057175548).

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

120020201220 is a wasteful number, since it uses less digits than its factorization.

120020201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123900 (or 123898 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120020201220 its reverse (22102020021), we get a palindrome (142122221241).

The spelling of 120020201220 in words is "one hundred twenty billion, twenty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 19087 38174 57261 76348 95435 104801 114522 190870 209602 229044 286305 314403 381740 419204 524005 572610 628806 1048010 1145220 1257612 1572015 2096020 3144030 6288060 2000336687 4000673374 6001010061 8001346748 10001683435 12002020122 20003366870 24004040244 30005050305 40006733740 60010100610 120020201220