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12332224077680 = 2451342641278087
BaseRepresentation
bin1011001101110101000111…
…0101011101111101110000
31121122221121220021212221002
42303131101311131331300
53104022343330441210
642121202345021132
72411655003044243
oct263352165357560
947587556255832
1012332224077680
113a25080a9a661
121472098a847a8
136b5c015c5380
14308c506b325a
15165bc95ce4a5
hexb3751d5df70

12332224077680 has 80 divisors (see below), whose sum is σ = 30878827003584. Its totient is φ = 4553313423360.

The previous prime is 12332224077647. The next prime is 12332224077709. The reversal of 12332224077680 is 8677042223321.

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

It is a super-2 number, since 2×123322240776802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44207597 + ... + 44485683.

Almost surely, 212332224077680 is an apocalyptic number.

12332224077680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12332224077680 is an abundant number, since it is smaller than the sum of its proper divisors (18546602925904).

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

12332224077680 is a wasteful number, since it uses less digits than its factorization.

12332224077680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320754 (or 320748 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 47.

The spelling of 12332224077680 in words is "twelve trillion, three hundred thirty-two billion, two hundred twenty-four million, seventy-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 42641 85282 170564 213205 278087 341128 426410 554333 556174 682256 852820 1108666 1112348 1390435 1705640 2217332 2224696 2771665 2780870 3411280 3615131 4434664 4449392 5543330 5561740 7230262 8869328 11086660 11123480 14460524 18075655 22173320 22246960 28921048 36151310 44346640 57842096 72302620 144605240 289210480 11857907767 23715815534 47431631068 59289538835 94863262136 118579077670 154152800971 189726524272 237158155340 308305601942 474316310680 616611203884 770764004855 948632621360 1233222407768 1541528009710 2466444815536 3083056019420 6166112038840 12332224077680