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12202140288 = 273137930941
BaseRepresentation
bin10110101110100110…
…11110001010000000
31011111101110221200210
423113103132022000
5144442221442123
65334450114120
7611244324012
oct132723361200
934441427623
1012202140288
1151a1876668
12244657b940
1311c5cbb070
1483a7da1b2
154b639de93
hex2d74de280

12202140288 has 128 divisors (see below), whose sum is σ = 35348140800. Its totient is φ = 3706859520.

The previous prime is 12202140287. The next prime is 12202140341. The reversal of 12202140288 is 88204120221.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (12202140281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378898 + ... + 409838.

It is an arithmetic number, because the mean of its divisors is an integer number (276157350).

Almost surely, 212202140288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202140288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17674070400).

12202140288 is an abundant number, since it is smaller than the sum of its proper divisors (23146000512).

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

12202140288 is a wasteful number, since it uses less digits than its factorization.

12202140288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31050 (or 31038 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 12202140288 in words is "twelve billion, two hundred two million, one hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 192 208 237 312 316 384 416 474 624 632 832 948 1027 1248 1264 1664 1896 2054 2496 2528 3081 3792 4108 4992 5056 6162 7584 8216 10112 12324 15168 16432 24648 30336 30941 32864 49296 61882 65728 92823 98592 123764 131456 185646 197184 247528 371292 394368 402233 495056 742584 804466 990112 1206699 1485168 1608932 1980224 2413398 2444339 2970336 3217864 3960448 4826796 4888678 5940672 6435728 7333017 9653592 9777356 11881344 12871456 14666034 19307184 19554712 25742912 29332068 31776407 38614368 39109424 51485824 58664136 63552814 77228736 78218848 95329221 117328272 127105628 154457472 156437696 190658442 234656544 254211256 312875392 381316884 469313088 508422512 762633768 938626176 1016845024 1525267536 2033690048 3050535072 4067380096 6101070144 12202140288