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12202214016 = 273374120947
BaseRepresentation
bin10110101110100111…
…10000001010000000
31011111101121200211110
423113103300022000
5144442231322031
65334451443320
7611245051656
oct132723601200
934441550743
1012202214016
1151a1916aa3
1224465b6540
1311c60157a5
1483a818dd6
154b63b5c46
hex2d74f0280

12202214016 has 128 divisors (see below), whose sum is σ = 34101668160. Its totient is φ = 3860766720.

The previous prime is 12202213997. The next prime is 12202214021. The reversal of 12202214016 is 61041220221.

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

It is a junction number, because it is equal to n+sod(n) for n = 12202213983 and 12202214001.

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, 572055 + ... + 593001.

Almost surely, 212202214016 is an apocalyptic number.

12202214016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17050834080).

12202214016 is an abundant number, since it is smaller than the sum of its proper divisors (21899454144).

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

12202214016 is a wasteful number, since it uses less digits than its factorization.

12202214016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21042 (or 21030 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12202214016 its reverse (61041220221), we get a palindrome (73243434237).

The spelling of 12202214016 in words is "twelve billion, two hundred two million, two hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 41 48 64 74 82 96 111 123 128 148 164 192 222 246 296 328 384 444 492 592 656 888 984 1184 1312 1517 1776 1968 2368 2624 3034 3552 3936 4551 4736 5248 6068 7104 7872 9102 12136 14208 15744 18204 20947 24272 36408 41894 48544 62841 72816 83788 97088 125682 145632 167576 194176 251364 291264 335152 502728 582528 670304 775039 858827 1005456 1340608 1550078 1717654 2010912 2325117 2576481 2681216 3100156 3435308 4021824 4650234 5152962 6200312 6870616 8043648 9300468 10305924 12400624 13741232 18600936 20611848 24801248 27482464 31776599 37201872 41223696 49602496 54964928 63553198 74403744 82447392 95329797 99204992 109929856 127106396 148807488 164894784 190659594 254212792 297614976 329789568 381319188 508425584 762638376 1016851168 1525276752 2033702336 3050553504 4067404672 6101107008 12202214016