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1220104512 = 26331164189
BaseRepresentation
bin100100010111001…
…0101000101000000
310011000211201202000
41020232111011000
54444321321022
6321023024000
742143501004
oct11056250500
93130751660
101220104512
11576798640
122a073b000
13165a13343
14b8084704
15721ac6ac
hex48b95140

1220104512 has 112 divisors (see below), whose sum is σ = 3913022400. Its totient is φ = 369722880.

The previous prime is 1220104507. The next prime is 1220104517. The reversal of 1220104512 is 2154010221.

1220104512 is a `hidden beast` number, since 12 + 201 + 0 + 451 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1220104507) and next prime (1220104517).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220104517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13087 + ... + 51102.

It is an arithmetic number, because the mean of its divisors is an integer number (34937700).

Almost surely, 21220104512 is an apocalyptic number.

1220104512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1220104512 is an abundant number, since it is smaller than the sum of its proper divisors (2692917888).

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

1220104512 is a wasteful number, since it uses less digits than its factorization.

1220104512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64221 (or 64205 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1220104512 is about 34929.9944460345. The cubic root of 1220104512 is about 1068.5602413484.

Adding to 1220104512 its reverse (2154010221), we get a palindrome (3374114733).

The spelling of 1220104512 in words is "one billion, two hundred twenty million, one hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 64189 128378 192567 256756 385134 513512 577701 706079 770268 1027024 1155402 1412158 1540536 1733103 2054048 2118237 2310804 2824316 3081072 3466206 4108096 4236474 4621608 5648632 6162144 6354711 6932412 8472948 9243216 11297264 12324288 12709422 13864824 16945896 18486432 19064133 22594528 25418844 27729648 33891792 36972864 38128266 45189056 50837688 55459296 67783584 76256532 101675376 110918592 135567168 152513064 203350752 305026128 406701504 610052256 1220104512