Search a number
-
+
123112401200 = 2452676145523
BaseRepresentation
bin111001010101000010…
…0100010100100110000
3102202202220200222021222
41302222010202210300
54004113233314300
6132320154004212
711615561100245
oct1625204424460
9382686628258
10123112401200
1148236817218
121ba3a116668
13b7bcc64b99
145d5c84b5cc
15330834d785
hex1caa122930

123112401200 has 60 divisors (see below), whose sum is σ = 295827789768. Its totient is φ = 49236595200.

The previous prime is 123112401187. The next prime is 123112401281. The reversal of 123112401200 is 2104211321.

It is a super-2 number, since 2×1231124012002 (a number of 23 digits) contains 22 as substring.

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, 2681639 + ... + 2727161.

Almost surely, 2123112401200 is an apocalyptic number.

123112401200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123112401200 is an abundant number, since it is smaller than the sum of its proper divisors (172715388568).

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

123112401200 is a wasteful number, since it uses less digits than its factorization.

123112401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52302 (or 52291 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 123112401200 its reverse (2104211321), we get a palindrome (125216612521).

The spelling of 123112401200 in words is "one hundred twenty-three billion, one hundred twelve million, four hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 6761 13522 27044 33805 45523 54088 67610 91046 108176 135220 169025 182092 227615 270440 338050 364184 455230 540880 676100 728368 910460 1138075 1352200 1820920 2276150 2704400 3641840 4552300 9104600 18209200 307781003 615562006 1231124012 1538905015 2462248024 3077810030 4924496048 6155620060 7694525075 12311240120 15389050150 24622480240 30778100300 61556200600 123112401200