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12022288218 = 2338312312179
BaseRepresentation
bin10110011001001010…
…11000111101011010
31011000212001112001000
423030211120331122
5144110201210333
65304543205430
7603631522653
oct131445307532
934025045030
1012022288218
11510a2a5096
1223b62a6876
131197969615
1482098052a
154a56c4713
hex2cc958f5a

12022288218 has 64 divisors (see below), whose sum is σ = 27072460800. Its totient is φ = 3954115440.

The previous prime is 12022288217. The next prime is 12022288241. The reversal of 12022288218 is 81288222021.

It is not an unprimeable number, because it can be changed into a prime (12022288211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5516253 + ... + 5518431.

It is an arithmetic number, because the mean of its divisors is an integer number (423007200).

Almost surely, 212022288218 is an apocalyptic number.

12022288218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022288218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13536230400).

12022288218 is an abundant number, since it is smaller than the sum of its proper divisors (15050172582).

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

12022288218 is a wasteful number, since it uses less digits than its factorization.

12022288218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 12022288218 in words is "twelve billion, twenty-two million, two hundred eighty-eight thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1231 1494 2179 2241 2462 3693 4358 4482 6537 7386 11079 13074 19611 22158 33237 39222 58833 66474 102173 117666 180857 204346 306519 361714 542571 613038 919557 1085142 1627713 1839114 2682349 2758671 3255426 4883139 5364698 5517342 8047047 9766278 16094094 24141141 48282282 72423423 144846846 222634967 445269934 667904901 1335809802 2003714703 4007429406 6011144109 12022288218