Search a number
-
+
122120211011112 = 23325033371996107
BaseRepresentation
bin11011110001000101010011…
…110011000001011000101000
3121000101120121110211222020100
4123301011103303001120220
5112001304143004323422
61111421130033025400
734502615446342326
oct3361052363013050
9530346543758210
10122120211011112
1135a029884a2966
121184386b6b5260
13531ab6a7b9542
142222914cb2d16
15e1b960dba7ac
hex6f1153cc1628

122120211011112 has 48 divisors (see below), whose sum is σ = 331399777494240. Its totient is φ = 40625809085088.

The previous prime is 122120211011107. The next prime is 122120211011171. The reversal of 122120211011112 is 211110112021221.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1685961838 + ... + 1686034269.

It is an arithmetic number, because the mean of its divisors is an integer number (6904162031130).

Almost surely, 2122120211011112 is an apocalyptic number.

122120211011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122120211011112 is an abundant number, since it is smaller than the sum of its proper divisors (209279566483128).

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

122120211011112 is a wasteful number, since it uses less digits than its factorization.

122120211011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371996622 (or 3371996615 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122120211011112 its reverse (211110112021221), we get a palindrome (333230323032333).

The spelling of 122120211011112 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred eleven million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 503 1006 1509 2012 3018 4024 4527 6036 9054 12072 18108 36216 3371996107 6743992214 10115988321 13487984428 20231976642 26975968856 30347964963 40463953284 60695929926 80927906568 121391859852 242783719704 1696114041821 3392228083642 5088342125463 6784456167284 10176684250926 13568912334568 15265026376389 20353368501852 30530052752778 40706737003704 61060105505556 122120211011112