Search a number
-
+
120121102112202 = 23223614756517863
BaseRepresentation
bin11011010011111111011111…
…100111110001010111001010
3120202022110120010202202011100
4123103333133213301113022
5111221031004120042302
61103250512243242230
734205314614150522
oct3323773747612712
9522273503682140
10120121102112202
1135302089656564
1211580336079376
1352044a9a54229
142193c6c904682
15dd495b25cd1c
hex6d3fdf9f15ca

120121102112202 has 48 divisors (see below), whose sum is σ = 276030244683648. Its totient is φ = 37671621467040.

The previous prime is 120121102112189. The next prime is 120121102112203. The reversal of 120121102112202 is 202211201121021.

120121102112202 is a `hidden beast` number, since 1 + 20 + 1 + 211 + 0 + 211 + 220 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (120121102112203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2378233678 + ... + 2378284185.

It is an arithmetic number, because the mean of its divisors is an integer number (5750630097576).

Almost surely, 2120121102112202 is an apocalyptic number.

120121102112202 is an abundant number, since it is smaller than the sum of its proper divisors (155909142571446).

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

120121102112202 is a wasteful number, since it uses less digits than its factorization.

120121102112202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756517955 (or 4756517952 counting only the distinct ones).

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

Adding to 120121102112202 its reverse (202211201121021), we get a palindrome (322332303233223).

The spelling of 120121102112202 in words is "one hundred twenty trillion, one hundred twenty-one billion, one hundred two million, one hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 46 61 69 122 138 183 207 366 414 549 1098 1403 2806 4209 8418 12627 25254 4756517863 9513035726 14269553589 28539107178 42808660767 85617321534 109399910849 218799821698 290147589643 328199732547 580295179286 656399465094 870442768929 984599197641 1740885537858 1969198395282 2611328306787 5222656613574 6673394561789 13346789123578 20020183685367 40040367370734 60060551056101 120121102112202