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12022058112 = 273295771871
BaseRepresentation
bin10110011001001001…
…00000110010000000
31011000211121211101120
423030210200302000
5144110121324422
65304534232240
7603626544051
oct131444406200
934024554346
1012022058112
11510a158219
1223b61b5680
1311978b896c
14820920728
154a567b45c
hex2cc920c80

12022058112 has 128 divisors (see below), whose sum is σ = 33109689600. Its totient is φ = 3860398080.

The previous prime is 12022058107. The next prime is 12022058149. The reversal of 12022058112 is 21185022021.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6424537 + ... + 6426407.

It is an arithmetic number, because the mean of its divisors is an integer number (258669450).

Almost surely, 212022058112 is an apocalyptic number.

12022058112 is a gapful number since it is divisible by the number (12) 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 12022058112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16554844800).

12022058112 is an abundant number, since it is smaller than the sum of its proper divisors (21087631488).

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

12022058112 is a wasteful number, since it uses less digits than its factorization.

12022058112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The spelling of 12022058112 in words is "twelve billion, twenty-two million, fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 577 696 928 1154 1392 1731 1856 1871 2308 2784 3462 3712 3742 4616 5568 5613 6924 7484 9232 11136 11226 13848 14968 16733 18464 22452 27696 29936 33466 36928 44904 50199 54259 55392 59872 66932 73856 89808 100398 108518 110784 119744 133864 162777 179616 200796 217036 221568 239488 267728 325554 359232 401592 434072 535456 651108 718464 803184 868144 1070912 1079567 1302216 1606368 1736288 2141824 2159134 2604432 3212736 3238701 3472576 4318268 5208864 6425472 6477402 6945152 8636536 10417728 12954804 17273072 20835456 25909608 31307443 34546144 51819216 62614886 69092288 93922329 103638432 125229772 138184576 187844658 207276864 250459544 375689316 414553728 500919088 751378632 1001838176 1502757264 2003676352 3005514528 4007352704 6011029056 12022058112