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121223956050 = 2345254712
BaseRepresentation
bin111000011100110000…
…0101100011001010010
3102120220022021000120000
41300321200230121102
53441231313043200
6131404534030430
711521020424251
oct1607140543122
9376808230500
10121223956050
114745784344a
121b5b17a8416
13b57b948812
145c1db10798
153247674300
hex1c3982c652

121223956050 has 90 divisors (see below), whose sum is σ = 336884583189. Its totient is φ = 32320479600.

The previous prime is 121223956037. The next prime is 121223956081. The reversal of 121223956050 is 50659322121.

It is a happy number.

121223956050 is a `hidden beast` number, since 1 + 2 + 12 + 2 + 39 + 5 + 605 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118799476929 + 2424479121 = 344673^2 + 49239^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=246195.

It is a junction number, because it is equal to n+sod(n) for n = 121223955996 and 121223956014.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22154815 + ... + 22160285.

Almost surely, 2121223956050 is an apocalyptic number.

121223956050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121223956050

121223956050 is an abundant number, since it is smaller than the sum of its proper divisors (215660627139).

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

121223956050 is an frugal number, since it uses more digits than its factorization.

121223956050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10966 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 121223956050 in words is "one hundred twenty-one billion, two hundred twenty-three million, nine hundred fifty-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 4050 5471 10942 16413 27355 32826 49239 54710 82065 98478 136775 147717 164130 246195 273550 295434 410325 443151 492390 738585 820650 886302 1230975 1477170 2215755 2461950 3692925 4431510 7385850 11078775 22157550 29931841 59863682 89795523 149659205 179591046 269386569 299318410 448977615 538773138 748296025 808159707 897955230 1346932845 1496592050 1616319414 2244888075 2424479121 2693865690 4040798535 4489776150 4848958242 6734664225 8081597070 12122395605 13469328450 20203992675 24244791210 40407985350 60611978025 121223956050