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111212022010012 = 227111019973585787
BaseRepresentation
bin11001010010010110010001…
…000100010001000010011100
3112120202202200000210021111121
4121102112101010101002130
5104034044210113310022
61032310033025500324
732265542402566510
oct3122262104210234
9476682600707447
10111212022010012
1132487832151350
12105817751a16a4
134a09330458c51
141d66994d76140
15cccd2ea6a2c7
hex65259111109c

111212022010012 has 96 divisors (see below), whose sum is σ = 245292684166656. Its totient is φ = 42857314272000.

The previous prime is 111212022010003. The next prime is 111212022010093. The reversal of 111212022010012 is 210010220212111.

111212022010012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1112120220100122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 29221783 + ... + 32807569.

It is an arithmetic number, because the mean of its divisors is an integer number (2555132126736).

Almost surely, 2111212022010012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111212022010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122646342083328).

111212022010012 is an abundant number, since it is smaller than the sum of its proper divisors (134080662156644).

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

111212022010012 is a wasteful number, since it uses less digits than its factorization.

111212022010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586907 (or 3586905 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111212022010012 its reverse (210010220212111), we get a palindrome (321222242222123).

It can be divided in two parts, 1112120 and 22010012, that added together give a palindrome (23122132).

The spelling of 111212022010012 in words is "one hundred eleven trillion, two hundred twelve billion, twenty-two million, ten thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 202 308 404 707 997 1111 1414 1994 2222 2828 3988 4444 6979 7777 10967 13958 15554 21934 27916 31108 43868 76769 100697 153538 201394 307076 402788 704879 1107667 1409758 2215334 2819516 3585787 4430668 7171574 7753669 14343148 15507338 25100509 31014676 39443657 50201018 78887314 100402036 157774628 276105599 362164487 552211198 724328974 1104422396 1448657948 2535151409 3575029639 3983809357 5070302818 7150059278 7967618714 10140605636 14300118556 15935237428 25025207473 27886665499 39325326029 50050414946 55773330998 78650652058 100100829892 111546661996 157301304116 275277282203 361077993539 550554564406 722155987078 1101109128812 1444311974156 2527545954773 3971857928929 5055091909546 7943715857858 10110183819092 15887431715716 27803005502503 55606011005006 111212022010012