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12042720198 = 234103371963
BaseRepresentation
bin10110011011100110…
…10101001111000110
31011002021111120110000
423031303111033012
5144130414021243
65310553142130
7604300301265
oct131563251706
934067446400
1012042720198
11511a88aa23
1224010ba946
13119bc71552
1482357c5dc
154a73ad5d3
hex2cdcd53c6

12042720198 has 40 divisors (see below), whose sum is σ = 27011111688. Its totient is φ = 4010298336.

The previous prime is 12042720191. The next prime is 12042720227. The reversal of 12042720198 is 89102724021.

12042720198 is a `hidden beast` number, since 1 + 20 + 427 + 20 + 198 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042720191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 131365 + ... + 203327.

Almost surely, 212042720198 is an apocalyptic number.

12042720198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12042720198 is an abundant number, since it is smaller than the sum of its proper divisors (14968391490).

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

12042720198 is a wasteful number, since it uses less digits than its factorization.

12042720198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73010 (or 73001 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

It can be divided in two parts, 120427 and 20198, that added together give a square (140625 = 3752).

The spelling of 12042720198 in words is "twelve billion, forty-two million, seven hundred twenty thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 1033 2066 3099 6198 9297 18594 27891 55782 71963 83673 143926 167346 215889 431778 647667 1295334 1943001 3886002 5829003 11658006 74337779 148675558 223013337 446026674 669040011 1338080022 2007120033 4014240066 6021360099 12042720198