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123111213012 = 223331131280699
BaseRepresentation
bin111001010101000000…
…0000000011111010100
3102202202211110121102000
41302222000000133110
54004112432304022
6132320112315300
711615545021164
oct1625200003724
9382684417360
10123111213012
1148236085547
121ba39842b30
13b7bc93a108
145d5c61c5a4
1533081b66ac
hex1caa0007d4

123111213012 has 96 divisors (see below), whose sum is σ = 331989504000. Its totient is φ = 39409999200.

The previous prime is 123111212977. The next prime is 123111213023. The reversal of 123111213012 is 210312111321.

123111213012 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 2×1231112130122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 298239 + ... + 578937.

It is an arithmetic number, because the mean of its divisors is an integer number (3458224000).

Almost surely, 2123111213012 is an apocalyptic number.

123111213012 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 123111213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165994752000).

123111213012 is an abundant number, since it is smaller than the sum of its proper divisors (208878290988).

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

123111213012 is a wasteful number, since it uses less digits than its factorization.

123111213012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280874 (or 280866 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 123111213012 its reverse (210312111321), we get a palindrome (333423324333).

The spelling of 123111213012 in words is "one hundred twenty-three billion, one hundred eleven million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 131 186 262 279 372 393 524 558 786 837 1116 1179 1572 1674 2358 3348 3537 4061 4716 7074 8122 12183 14148 16244 24366 36549 48732 73098 109647 146196 219294 280699 438588 561398 842097 1122796 1684194 2526291 3368388 5052582 7578873 8701669 10105164 15157746 17403338 26105007 30315492 34806676 36771569 52210014 73543138 78315021 104420028 110314707 147086276 156630042 220629414 234945063 313260084 330944121 441258828 469890126 661888242 939780252 992832363 1139918639 1323776484 1985664726 2279837278 3419755917 3971329452 4559674556 6839511834 10259267751 13679023668 20518535502 30777803253 41037071004 61555606506 123111213012