Search a number
-
+
120021212011122 = 2343839241209327
BaseRepresentation
bin11011010010100010011101…
…101101010001101001110010
3120201221220201121220211220000
4123102202131231101221302
5111212411420233323442
61103132552243530430
734165150343253162
oct3322423555215162
9521856647824800
10120021212011122
113527378a263114
1211564ab9089a16
1351c7c4ac42b46
14218d0b42d05a2
15dd20619d0d4c
hex6d289db51a72

120021212011122 has 80 divisors (see below), whose sum is σ = 269669070139392. Its totient is φ = 39898104966720.

The previous prime is 120021212011111. The next prime is 120021212011159. The reversal of 120021212011122 is 221110212120021.

120021212011122 is a `hidden beast` number, since 1 + 200 + 212 + 120 + 11 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120021212011095 and 120021212011104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 573262423 + ... + 573471749.

Almost surely, 2120021212011122 is an apocalyptic number.

120021212011122 is an abundant number, since it is smaller than the sum of its proper divisors (149647858128270).

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

120021212011122 is a wasteful number, since it uses less digits than its factorization.

120021212011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218965 (or 218956 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120021212011122 its reverse (221110212120021), we get a palindrome (341131424131143).

The spelling of 120021212011122 in words is "one hundred twenty trillion, twenty-one billion, two hundred twelve million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 383 766 1149 2298 3447 6894 9241 10341 18482 20682 27723 31023 55446 62046 83169 166338 209327 249507 418654 499014 627981 748521 1255962 1497042 1883943 3539303 3767886 5651829 7078606 10617909 11303658 16955487 21235818 31853727 33910974 63707454 80172241 95561181 160344482 191122362 240516723 286683543 481033446 573367086 721550169 1443100338 1934390807 2164650507 3868781614 4329301014 5803172421 6493951521 11606344842 12987903042 17409517263 34819034526 52228551789 104457103578 156685655367 313371310734 740871679081 1481743358162 2222615037243 4445230074486 6667845111729 13335690223458 20003535335187 40007070670374 60010606005561 120021212011122