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1200123101112 = 2331317990122853
BaseRepresentation
bin10001011101101100111…
…010010011111110111000
311020201201122100021221220
4101131230322103332320
5124130323003213422
62315155015032040
7152464112021265
oct21355472237670
94221648307856
101200123101112
11422a73226851
1217471296b620
138922bc592c0
144212ca1026c
1521340904e5c
hex1176ce93fb8

1200123101112 has 128 divisors (see below), whose sum is σ = 3421660656960. Its totient is φ = 347496652800.

The previous prime is 1200123101077. The next prime is 1200123101131. The reversal of 1200123101112 is 2111013210021.

It is a junction number, because it is equal to n+sod(n) for n = 1200123101091 and 1200123101100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52503478 + ... + 52526330.

Almost surely, 21200123101112 is an apocalyptic number.

1200123101112 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 1200123101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710830328480).

1200123101112 is an abundant number, since it is smaller than the sum of its proper divisors (2221537555848).

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

1200123101112 is a wasteful number, since it uses less digits than its factorization.

1200123101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32793 (or 32789 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1200123101112 its reverse (2111013210021), we get a palindrome (3311136311133).

The spelling of 1200123101112 in words is "one trillion, two hundred billion, one hundred twenty-three million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 9901 19802 22853 29703 39604 45706 59406 68559 79208 91412 118812 128713 137118 168317 182824 237624 257426 274236 297089 336634 386139 388501 504951 514852 548472 594178 673268 772278 777002 891267 1009902 1029704 1165503 1188356 1346536 1544556 1554004 1782534 2019804 2188121 2331006 2376712 3089112 3108008 3565068 4039608 4376242 4662012 5050513 6564363 7130136 8752484 9324024 10101026 13128726 15151539 17504968 20202052 26257452 30303078 40404104 52514904 60606156 121212312 226267553 452535106 678802659 905070212 1357605318 1810140424 2715210636 2941478189 3846548401 5430421272 5882956378 7693096802 8824434567 11539645203 11765912756 15386193604 17648869134 23079290406 23531825512 30772387208 35297738268 46158580812 50005129213 70595476536 92317161624 100010258426 150015387639 200020516852 300030775278 400041033704 600061550556 1200123101112