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12180580320 = 253541396131
BaseRepresentation
bin10110101100000010…
…01110011111100000
31011102212220120222110
423112001032133200
5144421212032240
65332400035320
7610563136656
oct132601163740
934385816873
1012180580320
115190690307
12243b302b40
1311c16ac89c
148379c6dd6
154b4540c80
hex2d604e7e0

12180580320 has 96 divisors (see below), whose sum is σ = 38384357760. Its totient is φ = 3246840320.

The previous prime is 12180580277. The next prime is 12180580331. The reversal of 12180580320 is 2308508121.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1983655 + ... + 1989785.

It is an arithmetic number, because the mean of its divisors is an integer number (399837060).

Almost surely, 212180580320 is an apocalyptic number.

12180580320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12180580320 is an abundant number, since it is smaller than the sum of its proper divisors (26203777440).

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

12180580320 is a wasteful number, since it uses less digits than its factorization.

12180580320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10288 (or 10280 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 12180580320 in words is "twelve billion, one hundred eighty million, five hundred eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4139 6131 8278 12262 12417 16556 18393 20695 24524 24834 30655 33112 36786 41390 49048 49668 61310 62085 66224 73572 82780 91965 98096 99336 122620 124170 132448 147144 165560 183930 196192 198672 245240 248340 294288 331120 367860 397344 490480 496680 588576 662240 735720 980960 993360 1471440 1986720 2942880 25376209 50752418 76128627 101504836 126881045 152257254 203009672 253762090 304514508 380643135 406019344 507524180 609029016 761286270 812038688 1015048360 1218058032 1522572540 2030096720 2436116064 3045145080 4060193440 6090290160 12180580320