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121425765444 = 223122392
BaseRepresentation
bin111000100010110001…
…0100010010001000100
3102121102101000000000000
41301011202202101010
53442134443443234
6131440543321300
711526020655654
oct1610542422104
9377371000000
10121425765444
1147550751875
121b6492b0230
13b5b16b7569
145c3c844364
15325a239899
hex1c458a2444

121425765444 has 117 divisors (see below), whose sum is σ = 320081664847. Its totient is φ = 40305902616.

The previous prime is 121425765397. The next prime is 121425765449. The reversal of 121425765444 is 444567524121.

The square root of 121425765444 is 348462.

It is a perfect power (a square), and thus also a powerful number.

121425765444 is a `hidden beast` number, since 1 + 2 + 14 + 25 + 76 + 544 + 4 = 666.

It is a super-2 number, since 2×1214257654442 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121425765444.

It is not an unprimeable number, because it can be changed into a prime (121425765449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 508057477 + ... + 508057715.

Almost surely, 2121425765444 is an apocalyptic number.

121425765444 is the 348462-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121425765444

121425765444 is an abundant number, since it is smaller than the sum of its proper divisors (198655899403).

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

121425765444 is an frugal number, since it uses more digits than its factorization.

121425765444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 244 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 121425765444 in words is "one hundred twenty-one billion, four hundred twenty-five million, seven hundred sixty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 239 243 324 478 486 717 729 956 972 1434 1458 2151 2187 2868 2916 4302 4374 6453 6561 8604 8748 12906 13122 19359 19683 25812 26244 38718 39366 57121 58077 59049 77436 78732 114242 116154 118098 171363 174231 177147 228484 232308 236196 342726 348462 354294 514089 522693 531441 685452 696924 708588 1028178 1045386 1062882 1542267 1568079 2056356 2090772 2125764 3084534 3136158 4626801 4704237 6169068 6272316 9253602 9408474 13880403 14112711 18507204 18816948 27760806 28225422 41641209 42338133 55521612 56450844 83282418 84676266 124923627 127014399 166564836 169352532 249847254 254028798 374770881 499694508 508057596 749541762 1124312643 1499083524 2248625286 3372937929 4497250572 6745875858 10118813787 13491751716 20237627574 30356441361 40475255148 60712882722 121425765444