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123131112120 = 23335114010289
BaseRepresentation
bin111001010101100101…
…1111010101010111000
3102202211012220120212000
41302223023322222320
54004133031041440
6132322103021000
711616206120112
oct1625313725270
9382735816760
10123131112120
1148246336a95
121ba4443a760
13b7c3ab6633
145d6111c3b2
153309ce7730
hex1cab2faab8

123131112120 has 64 divisors (see below), whose sum is σ = 410437044000. Its totient is φ = 32834962944.

The previous prime is 123131112107. The next prime is 123131112133. The reversal of 123131112120 is 21211131321.

123131112120 is a `hidden beast` number, since 1 + 231 + 311 + 1 + 2 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (123131112107) and next prime (123131112133).

It is a super-2 number, since 2×1231311121202 (a number of 23 digits) contains 22 as substring.

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 = 123131112093 and 123131112102.

It is a congruent number.

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, 57004065 + ... + 57006224.

Almost surely, 2123131112120 is an apocalyptic number.

123131112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123131112120 is an abundant number, since it is smaller than the sum of its proper divisors (287305931880).

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

123131112120 is a wasteful number, since it uses less digits than its factorization.

123131112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114010309 (or 114010299 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 123131112120 its reverse (21211131321), we get a palindrome (144342243441).

The spelling of 123131112120 in words is "one hundred twenty-three billion, one hundred thirty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 114010289 228020578 342030867 456041156 570051445 684061734 912082312 1026092601 1140102890 1368123468 1710154335 2052185202 2280205780 2736246936 3078277803 3420308670 4104370404 4560411560 5130463005 6156555606 6840617340 8208740808 10260926010 12313111212 13681234680 15391389015 20521852020 24626222424 30782778030 41043704040 61565556060 123131112120