Search a number
-
+
122112012010120 = 23511571748544219
BaseRepresentation
bin11011110000111101101011…
…000110010100001010001000
3121000100210110001222120021221
4123300331223012110022020
5112001140400033310440
61111413252304011424
734502205331105336
oct3360755306241210
9530323401876257
10122112012010120
11359aa460365090
1211842161900b74
13531a161c7ba72
142222378006b56
15e1b6311b1d4a
hex6f0f6b194288

122112012010120 has 64 divisors (see below), whose sum is σ = 299781917956800. Its totient is φ = 44396600014080.

The previous prime is 122112012010103. The next prime is 122112012010139. The reversal of 122112012010120 is 21010210211221.

It is a super-2 number, since 2×1221120120101202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112012010094 and 122112012010103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21756630 + ... + 26787589.

It is an arithmetic number, because the mean of its divisors is an integer number (4684092468075).

Almost surely, 2122112012010120 is an apocalyptic number.

122112012010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112012010120 is an abundant number, since it is smaller than the sum of its proper divisors (177669905946680).

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

122112012010120 is a wasteful number, since it uses less digits than its factorization.

122112012010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48549958 (or 48549954 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122112012010120 its reverse (21010210211221), we get a palindrome (143122222221341).

The spelling of 122112012010120 in words is "one hundred twenty-two trillion, one hundred twelve billion, twelve million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 5717 11434 22868 28585 45736 57170 62887 114340 125774 228680 251548 314435 503096 628870 1257740 2515480 48544219 97088438 194176876 242721095 388353752 485442190 533986409 970884380 1067972818 1941768760 2135945636 2669932045 4271891272 5339864090 10679728180 21359456360 277527300023 555054600046 1110109200092 1387636500115 2220218400184 2775273000230 3052800300253 5550546000460 6105600600506 11101092000920 12211201201012 15264001501265 24422402402024 30528003002530 61056006005060 122112012010120