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12000100001000 = 235312000100001
BaseRepresentation
bin1010111010011111110110…
…1100101010010011101000
31120111012100121020200101012
42232213331230222103220
53033102201100013000
641304434141243052
72345656444010426
oct256477554522350
946435317220335
1012000100001000
113907239677061
121419849263488
136907b2333987
142d6b44db0116
1515c23bac5735
hexae9fdb2a4e8

12000100001000 has 32 divisors (see below), whose sum is σ = 28080234004680. Its totient is φ = 4800040000000.

The previous prime is 12000100000943. The next prime is 12000100001017. The reversal of 12000100001000 is 10000100021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3527191998724 + 8472908002276 = 1878082^2 + 2910826^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6000049001 + ... + 6000051000.

Almost surely, 212000100001000 is an apocalyptic number.

12000100001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000100001000 is an abundant number, since it is smaller than the sum of its proper divisors (16080134003680).

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

12000100001000 is a wasteful number, since it uses less digits than its factorization.

12000100001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12000100022 (or 12000100008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 12000100001000 its reverse (10000100021), we get a palindrome (12010100101021).

The spelling of 12000100001000 in words is "twelve trillion, one hundred million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12000100001 24000200002 48000400004 60000500005 96000800008 120001000010 240002000020 300002500025 480004000040 600005000050 1200010000100 1500012500125 2400020000200 3000025000250 6000050000500 12000100001000