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121274541945 = 32517614216173
BaseRepresentation
bin111000011110010000…
…1101010011101111001
3102121000211110001100200
41300330201222131321
53441332240320240
6131413542152413
711522203412064
oct1607441523571
9377024401320
10121274541945
1147483354377
121b606722709
13b58927a7bb
145c2671b8db
15324bd17930
hex1c3c86a779

121274541945 has 96 divisors (see below), whose sum is σ = 226797296544. Its totient is φ = 59725209600.

The previous prime is 121274541901. The next prime is 121274541959. The reversal of 121274541945 is 549145472121.

It is a happy number.

121274541945 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 7 + 454 + 194 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 114029808489 + 7244733456 = 337683^2 + 85116^2 .

It is not a de Polignac number, because 121274541945 - 212 = 121274537849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 121274541945.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19642879 + ... + 19649051.

It is an arithmetic number, because the mean of its divisors is an integer number (2362471839).

Almost surely, 2121274541945 is an apocalyptic number.

121274541945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121274541945 is a deficient number, since it is larger than the sum of its proper divisors (105522754599).

121274541945 is a wasteful number, since it uses less digits than its factorization.

121274541945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6683 (or 6680 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 121274541945 in words is "one hundred twenty-one billion, two hundred seventy-four million, five hundred forty-one thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 61 85 153 183 255 305 421 549 765 915 1037 1263 2105 2745 3111 3789 5185 6173 6315 7157 9333 15555 18519 18945 21471 25681 30865 35785 46665 55557 64413 77043 92595 104941 107355 128405 231129 277785 314823 322065 376553 385215 436577 524705 944469 1129659 1155645 1309731 1574115 1882765 2182885 2598833 3388977 3929193 4722345 5648295 6401401 6548655 7796499 12994165 16944885 19204203 19645965 23389497 32007005 38982495 44180161 57612609 96021015 116947485 132540483 158528813 220900805 288063045 397621449 475586439 662702415 792644065 1426759317 1988107245 2377932195 2694989821 7133796585 8084969463 13474949105 24254908389 40424847315 121274541945