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121000420224 = 2732437324019
BaseRepresentation
bin111000010110000101…
…1111110001110000000
3102120022201122020001100
41300230023332032000
53440302101421344
6131330430534400
711512334413305
oct1605413761600
9376281566040
10121000420224
11473526456a2
121b54a967400
13b5445408b8
145bdc1630ac
153232c1b569
hex1c2c2fe380

121000420224 has 96 divisors (see below), whose sum is σ = 348285436200. Its totient is φ = 40322571264.

The previous prime is 121000420181. The next prime is 121000420271. The reversal of 121000420224 is 422024000121.

121000420224 is a `hidden beast` number, since 1 + 21 + 0 + 0 + 0 + 420 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1210004202242 (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 = 121000420197 and 121000420206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5025687 + ... + 5049705.

Almost surely, 2121000420224 is an apocalyptic number.

It is an amenable number.

121000420224 is an abundant number, since it is smaller than the sum of its proper divisors (227285015976).

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

121000420224 is a wasteful number, since it uses less digits than its factorization.

121000420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28412 (or 28397 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 121000420224 its reverse (422024000121), we get a palindrome (543024420345).

The spelling of 121000420224 in words is "one hundred twenty-one billion, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4373 8746 13119 17492 24019 26238 34984 39357 48038 52476 69968 72057 78714 96076 104952 139936 144114 157428 192152 209904 216171 279872 288228 314856 384304 419808 432342 559744 576456 629712 768608 839616 864684 1152912 1259424 1537216 1679232 1729368 2305824 2518848 3074432 3458736 4611648 5037696 6917472 9223296 13834944 27669888 105035087 210070174 315105261 420140348 630210522 840280696 945315783 1260421044 1680561392 1890631566 2520842088 3361122784 3781263132 5041684176 6722245568 7562526264 10083368352 13444491136 15125052528 20166736704 30250105056 40333473408 60500210112 121000420224