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12042240440300 = 2252769493247553
BaseRepresentation
bin1010111100111100110101…
…1101101011011111101100
31120122020010102220210121022
42233033031131223133230
53034300002023042200
641340043501153312
72352010641563150
oct257171535533754
946566112823538
1012042240440300
1139230a38738a4
121425a49b5b838
13694769992865
142d8bc1953060
1515d3a6461885
hexaf3cd76b7ec

12042240440300 has 72 divisors (see below), whose sum is σ = 29865306685536. Its totient is φ = 4128692060160.

The previous prime is 12042240440299. The next prime is 12042240440317. The reversal of 12042240440300 is 304404224021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12042240440300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48521324 + ... + 48768876.

It is an arithmetic number, because the mean of its divisors is an integer number (414795926188).

Almost surely, 212042240440300 is an apocalyptic number.

12042240440300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12042240440300 is an abundant number, since it is smaller than the sum of its proper divisors (17823066245236).

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

12042240440300 is a wasteful number, since it uses less digits than its factorization.

12042240440300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317067 (or 317060 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 12042240440300 its reverse (304404224021), we get a palindrome (12346644664321).

The spelling of 12042240440300 in words is "twelve trillion, forty-two billion, two hundred forty million, four hundred forty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 69493 138986 247553 277972 347465 486451 495106 694930 972902 990212 1237765 1389860 1732871 1737325 1945804 2432255 2475530 3465742 3474650 4864510 4951060 6188825 6931484 6949300 8664355 9729020 12161275 12377650 17328710 24322550 24755300 34657420 43321775 48645100 86643550 173287100 17203200629 34406401258 68812802516 86016003145 120422404403 172032006290 240844808806 344064012580 430080015725 481689617612 602112022015 860160031450 1204224044030 1720320062900 2408448088060 3010560110075 6021120220150 12042240440300