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122000112011220 = 223523293048478561
BaseRepresentation
bin11011101111010101011101…
…010101101100011111010100
3120222222002121120101122102020
4123233111131111230133110
5111442322212133324340
61111250024442413140
734461134335601442
oct3357253525543724
9528862546348366
10122000112011220
1135966a5876a753
12118245328011b0
13530c73ac4b971
14221aba0759b92
15e187823ab9d0
hex6ef55d56c7d4

122000112011220 has 96 divisors (see below), whose sum is σ = 368743966859520. Its totient is φ = 30045804687360.

The previous prime is 122000112011203. The next prime is 122000112011221. The reversal of 122000112011220 is 22110211000221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122000112011220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000112011221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1524199261 + ... + 1524279300.

It is an arithmetic number, because the mean of its divisors is an integer number (3841082988120).

Almost surely, 2122000112011220 is an apocalyptic number.

122000112011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122000112011220 is an abundant number, since it is smaller than the sum of its proper divisors (246743854848300).

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

122000112011220 is a wasteful number, since it uses less digits than its factorization.

122000112011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048478625 (or 3048478623 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122000112011220 its reverse (22110211000221), we get a palindrome (144110323011441).

The spelling of 122000112011220 in words is "one hundred twenty-two trillion, one hundred twelve million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 29 30 46 58 60 69 87 92 115 116 138 145 174 230 276 290 345 348 435 460 580 667 690 870 1334 1380 1740 2001 2668 3335 4002 6670 8004 10005 13340 20010 40020 3048478561 6096957122 9145435683 12193914244 15242392805 18290871366 30484785610 36581742732 45727178415 60969571220 70115006903 88405878269 91454356830 140230013806 176811756538 182908713660 210345020709 265217634807 280460027612 350575034515 353623513076 420690041418 442029391345 530435269614 701150069030 841380082836 884058782690 1051725103545 1060870539228 1326088174035 1402300138060 1768117565380 2033335200187 2103450207090 2652176348070 4066670400374 4206900414180 5304352696140 6100005600561 8133340800748 10166676000935 12200011201122 20333352001870 24400022402244 30500028002805 40666704003740 61000056005610 122000112011220