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121423622112 = 25321334992927
BaseRepresentation
bin111000100010101101…
…0010110111111100000
3102121102012222002220100
41301011122112333200
53442133421401422
6131440425342400
711525663521122
oct1610532267740
9377365862810
10121423622112
114754a518521
121b648637a00
13b5b1116b10
145c3c447212
153259e647ac
hex1c45696fe0

121423622112 has 144 divisors (see below), whose sum is σ = 372929356800. Its totient is φ = 37253661696.

The previous prime is 121423622063. The next prime is 121423622113. The reversal of 121423622112 is 211226324121.

121423622112 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 23 + 622 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121423622113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1260193 + ... + 1353119.

It is an arithmetic number, because the mean of its divisors is an integer number (2589787200).

Almost surely, 2121423622112 is an apocalyptic number.

121423622112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121423622112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186464678400).

121423622112 is an abundant number, since it is smaller than the sum of its proper divisors (251505734688).

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

121423622112 is a wasteful number, since it uses less digits than its factorization.

121423622112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93305 (or 93294 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 121423622112 its reverse (211226324121), we get a palindrome (332649946233).

The spelling of 121423622112 in words is "one hundred twenty-one billion, four hundred twenty-three million, six hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 349 416 468 624 698 936 1047 1248 1396 1872 2094 2792 3141 3744 4188 4537 5584 6282 8376 9074 11168 12564 13611 16752 18148 25128 27222 33504 36296 40833 50256 54444 72592 81666 92927 100512 108888 145184 163332 185854 217776 278781 326664 371708 435552 557562 653328 743416 836343 1115124 1208051 1306656 1486832 1672686 2230248 2416102 2973664 3345372 3624153 4460496 4832204 6690744 7248306 8920992 9664408 10872459 13381488 14496612 19328816 21744918 26762976 28993224 32431523 38657632 43489836 57986448 64863046 86979672 97294569 115972896 129726092 173959344 194589138 259452184 291883707 347918688 389178276 421609799 518904368 583767414 778356552 843219598 1037808736 1167534828 1264829397 1556713104 1686439196 2335069656 2529658794 3113426208 3372878392 3794488191 4670139312 5059317588 6745756784 7588976382 9340278624 10118635176 13491513568 15177952764 20237270352 30355905528 40474540704 60711811056 121423622112