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12032231022 = 2387294517
BaseRepresentation
bin10110011010010110…
…10100011001101110
31011001112202200000000
423031023110121232
5144120222343042
65305540245130
7604112163510
oct131513243156
934045680000
1012032231022
115114976289
1223b96a07a6
131199a3b136
1482200bbb0
154a64da74c
hex2cd2d466e

12032231022 has 144 divisors (see below), whose sum is σ = 32012379360. Its totient is φ = 3318501312.

The previous prime is 12032230997. The next prime is 12032231027. The reversal of 12032231022 is 22013223021.

12032231022 is a `hidden beast` number, since 12 + 0 + 322 + 310 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12032230986 and 12032231004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032231027) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2661508 + ... + 2666024.

It is an arithmetic number, because the mean of its divisors is an integer number (222308190).

Almost surely, 212032231022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12032231022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16006189680).

12032231022 is an abundant number, since it is smaller than the sum of its proper divisors (19980148338).

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

12032231022 is an frugal number, since it uses more digits than its factorization.

12032231022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12032231022 its reverse (22013223021), we get a palindrome (34045454043).

The spelling of 12032231022 in words is "twelve billion, thirty-two million, two hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 243 261 378 406 486 522 567 609 729 783 1134 1218 1458 1566 1701 1827 2187 2349 3402 3654 4374 4517 4698 5103 5481 6561 7047 9034 10206 10962 13122 13551 14094 15309 16443 21141 27102 30618 31619 32886 40653 42282 45927 49329 63238 63423 81306 91854 94857 98658 121959 126846 130993 147987 189714 190269 243918 261986 284571 295974 365877 380538 392979 443961 569142 731754 785958 853713 887922 916951 1097631 1178937 1331883 1707426 1833902 2195262 2357874 2561139 2663766 2750853 3292893 3536811 5122278 5501706 6585786 7073622 7683417 8252559 9878679 10610433 15366834 16505118 19757358 21220866 23050251 24757677 29636037 31831299 46100502 49515354 59272074 63662598 69150753 74273031 95493897 138301506 148546062 190987794 207452259 222819093 286481691 414904518 445638186 572963382 668457279 859445073 1336914558 1718890146 2005371837 4010743674 6016115511 12032231022