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110000012112012 = 2231110112713649007
BaseRepresentation
bin11001000000101101011111…
…101001011011000010001100
3112102110220020222100010200010
4121000231133221123002030
5103404220011100041022
61025541150303233220
732112144562463541
oct3100553751330214
9472426228303603
10110000012112012
113205a81a163120
12104068a55a8810
13494bc58952429
141d240597b4bc8
15cab54580650c
hex640b5fa5b08c

110000012112012 has 96 divisors (see below), whose sum is σ = 282794986865664. Its totient is φ = 33000657088000.

The previous prime is 110000012111989. The next prime is 110000012112019. The reversal of 110000012112012 is 210211210000011.

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 (110000012112019) 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, 169165213 + ... + 169814219.

It is an arithmetic number, because the mean of its divisors is an integer number (2945781113184).

Almost surely, 2110000012112012 is an apocalyptic number.

110000012112012 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 110000012112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141397493432832).

110000012112012 is an abundant number, since it is smaller than the sum of its proper divisors (172794974753652).

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

110000012112012 is a wasteful number, since it uses less digits than its factorization.

110000012112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661839 (or 661837 counting only the distinct ones).

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

Adding to 110000012112012 its reverse (210211210000011), we get a palindrome (320211222112023).

The spelling of 110000012112012 in words is "one hundred ten trillion, twelve million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 12713 13332 25426 38139 50852 76278 139843 152556 279686 419529 559372 649007 839058 1284013 1298014 1678116 1947021 2568026 2596028 3852039 3894042 5136052 7139077 7704078 7788084 14124143 14278154 15408156 21417231 28248286 28556308 42372429 42834462 56496572 65549707 84744858 85668924 131099414 169489716 196649121 262198828 393298242 721046777 786596484 1442093554 2163140331 2884187108 4326280662 8250825991 8652561324 16501651982 24752477973 33003303964 49504955946 90759085901 99009911892 181518171802 272277257703 363036343604 544554515406 833333425091 1089109030812 1666666850182 2500000275273 3333333700364 5000000550546 9166667676001 10000001101092 18333335352002 27500003028003 36666670704004 55000006056006 110000012112012