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12412884040 = 2351312368871
BaseRepresentation
bin10111000111101110…
…11001010001001000
31012001002000211202221
423203313121101020
5200410144242130
65411415103424
7616413526204
oct134367312110
935032024687
1012412884040
11529a827557
1224a5071b74
13122a8675cb
1485a7b7b04
154c9b2b87a
hex2e3dd9448

12412884040 has 32 divisors (see below), whose sum is σ = 28142199360. Its totient is φ = 4927249600.

The previous prime is 12412884037. The next prime is 12412884097. The reversal of 12412884040 is 4048821421.

12412884040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12412883987 and 12412884005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1179196 + ... + 1189675.

It is an arithmetic number, because the mean of its divisors is an integer number (879443730).

Almost surely, 212412884040 is an apocalyptic number.

12412884040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12412884040 is an abundant number, since it is smaller than the sum of its proper divisors (15729315320).

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

12412884040 is a wasteful number, since it uses less digits than its factorization.

12412884040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369013 (or 2369009 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The spelling of 12412884040 in words is "twelve billion, four hundred twelve million, eight hundred eighty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 131 262 524 655 1048 1310 2620 5240 2368871 4737742 9475484 11844355 18950968 23688710 47377420 94754840 310322101 620644202 1241288404 1551610505 2482576808 3103221010 6206442020 12412884040