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12331412224220 = 225172910631176529
BaseRepresentation
bin1011001101110010000101…
…1100011111100011011100
31121122212112022122110100102
42303130201130133203130
53104014213012133340
642120550024120232
72411625614311445
oct263344134374334
947585468573312
1012331412224220
113a247a47a3091
121471ab1006078
136b5b023520cb
14308bb49402cc
15165b7d1b5215
hexb372171f8dc

12331412224220 has 96 divisors (see below), whose sum is σ = 28391457225600. Its totient is φ = 4478110285824.

The previous prime is 12331412224181. The next prime is 12331412224231. The reversal of 12331412224220 is 2242221413321.

It is a super-3 number, since 3×123314122242203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 9892916 + ... + 11069444.

It is an arithmetic number, because the mean of its divisors is an integer number (295744346100).

Almost surely, 212331412224220 is an apocalyptic number.

12331412224220 is a gapful number since it is divisible by the number (10) 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 12331412224220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14195728612800).

12331412224220 is an abundant number, since it is smaller than the sum of its proper divisors (16060045001380).

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

12331412224220 is a wasteful number, since it uses less digits than its factorization.

12331412224220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177647 (or 1177645 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 12331412224220 its reverse (2242221413321), we get a palindrome (14573633637541).

The spelling of 12331412224220 in words is "twelve trillion, three hundred thirty-one billion, four hundred twelve million, two hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1063 1972 2126 2465 4252 4930 5315 9860 10630 18071 21260 30827 36142 61654 72284 90355 123308 154135 180710 308270 361420 524059 616540 1048118 1176529 2096236 2353058 2620295 4706116 5240590 5882645 10481180 11765290 20000993 23530580 34119341 40001986 68238682 80003972 100004965 136477364 170596705 200009930 341193410 400019860 580028797 682386820 1160057594 1250650327 2320115188 2501300654 2900143985 5002601308 5800287970 6253251635 11600575940 12506503270 21261055559 25013006540 36268859483 42522111118 72537718966 85044222236 106305277795 145075437932 181344297415 212610555590 362688594830 425221111180 616570611211 725377189660 1233141222422 2466282444844 3082853056055 6165706112110 12331412224220