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12022682112 = 293271991873
BaseRepresentation
bin10110011001001101…
…11001001000000000
31011000212210112100200
423030212321020000
5144110301311422
65304555445200
7603635053230
oct131446711000
934025715320
1012022682112
11510a544021
1223b6456800
131197a769ac
14820a43cc0
154a57512ac
hex2cc9b9200

12022682112 has 240 divisors, whose sum is σ = 39875721600. Its totient is φ = 3415965696.

The previous prime is 12022682099. The next prime is 12022682123. The reversal of 12022682112 is 21128622021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6418008 + ... + 6419880.

It is an arithmetic number, because the mean of its divisors is an integer number (166148840).

Almost surely, 212022682112 is an apocalyptic number.

12022682112 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 12022682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19937860800).

12022682112 is an abundant number, since it is smaller than the sum of its proper divisors (27853039488).

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

12022682112 is a wasteful number, since it uses less digits than its factorization.

12022682112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12022682112 in words is "twelve billion, twenty-two million, six hundred eighty-two thousand, one hundred twelve".