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12252381360 = 2435409112479
BaseRepresentation
bin10110110100100110…
…01000000010110000
31011121220000110111020
423122103020002300
5200043102200420
65343443015440
7612424344312
oct133223100260
934556013436
1012252381360
11521817150a
12245b36a580
13120352c0cb
148433577b2
154ba9c5340
hex2da4c80b0

12252381360 has 80 divisors (see below), whose sum is σ = 37994711040. Its totient is φ = 3266241280.

The previous prime is 12252381353. The next prime is 12252381373. The reversal of 12252381360 is 6318325221.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 975601 + ... + 988079.

It is an arithmetic number, because the mean of its divisors is an integer number (474933888).

Almost surely, 212252381360 is an apocalyptic number.

12252381360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12252381360 is an abundant number, since it is smaller than the sum of its proper divisors (25742329680).

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

12252381360 is a wasteful number, since it uses less digits than its factorization.

12252381360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16586 (or 16580 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 12252381360 in words is "twelve billion, two hundred fifty-two million, three hundred eighty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4091 8182 12273 12479 16364 20455 24546 24958 32728 37437 40910 49092 49916 61365 62395 65456 74874 81820 98184 99832 122730 124790 149748 163640 187185 196368 199664 245460 249580 299496 327280 374370 490920 499160 598992 748740 981840 998320 1497480 2994960 51051589 102103178 153154767 204206356 255257945 306309534 408412712 510515890 612619068 765773835 816825424 1021031780 1225238136 1531547670 2042063560 2450476272 3063095340 4084127120 6126190680 12252381360