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1121000112012 = 2231171601199021
BaseRepresentation
bin10000010100000000110…
…100000011111110001100
310222011111102110222202010
4100110000310003332030
5121331302012041022
62214551430501220
7143663266506624
oct20240064037614
93864442428663
101121000112012
113a246037aa70
12161310804810
138192c72c061
143c384529884
151e25e42150c
hex10500d03f8c

1121000112012 has 96 divisors (see below), whose sum is σ = 2898473614848. Its totient is φ = 334353600000.

The previous prime is 1121000111989. The next prime is 1121000112013. The reversal of 1121000112012 is 2102110001211.

It is a super-2 number, since 2×11210001120122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1121000112013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5533062 + ... + 5732082.

It is an arithmetic number, because the mean of its divisors is an integer number (30192433488).

Almost surely, 21121000112012 is an apocalyptic number.

1121000112012 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 1121000112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449236807424).

1121000112012 is an abundant number, since it is smaller than the sum of its proper divisors (1777473502836).

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

1121000112012 is a wasteful number, since it uses less digits than its factorization.

1121000112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199711 (or 199709 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1121000112012 its reverse (2102110001211), we get a palindrome (3223110113223).

The spelling of 1121000112012 in words is "one trillion, one hundred twenty-one billion, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 601 781 852 1202 1562 1803 2343 2404 3124 3606 4686 6611 7212 9372 13222 19833 26444 39666 42671 79332 85342 128013 170684 199021 256026 398042 469381 512052 597063 796084 938762 1194126 1408143 1877524 2189231 2388252 2816286 4378462 5632572 6567693 8756924 13135386 14130491 26270772 28260982 42391473 56521964 84782946 119611621 155435401 169565892 239223242 310870802 358834863 466306203 478446484 621741604 717669726 932612406 1315727831 1435339452 1865224812 2631455662 3947183493 5262911324 7894366986 8492425091 15788733972 16984850182 25477275273 33969700364 50954550546 93416676001 101909101092 186833352002 280250028003 373666704004 560500056006 1121000112012