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123132121002 = 23411107733881
BaseRepresentation
bin111001010101100111…
…1110000111110101010
3102202211021210211210000
41302223033300332222
54004133310333002
6132322140403430
711616220521342
oct1625317607652
9382737724700
10123132121002
1148246965a80
121ba44846576
13b7c407a8c7
145d61301d22
153309e4661c
hex1cab3f0faa

123132121002 has 160 divisors (see below), whose sum is σ = 304562389824. Its totient is φ = 36871718400.

The previous prime is 123132120949. The next prime is 123132121009. The reversal of 123132121002 is 200121231321.

123132121002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (123132121009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 139763602 + ... + 139764482.

Almost surely, 2123132121002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123132121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152281194912).

123132121002 is an abundant number, since it is smaller than the sum of its proper divisors (181430268822).

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

123132121002 is a wasteful number, since it uses less digits than its factorization.

123132121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123132121002 its reverse (200121231321), we get a palindrome (323253352323).

The spelling of 123132121002 in words is "one hundred twenty-three billion, one hundred thirty-two million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 107 162 198 214 297 321 594 642 733 881 891 963 1177 1466 1762 1782 1926 2199 2354 2643 2889 3531 4398 5286 5778 6597 7062 7929 8063 8667 9691 10593 13194 15858 16126 17334 19382 19791 21186 23787 24189 29073 31779 39582 47574 48378 58146 59373 63558 71361 72567 78431 87219 94267 95337 118746 142722 145134 156862 174438 188534 190674 217701 235293 261657 282801 435402 470586 523314 565602 645773 653103 705879 784971 848403 862741 1036937 1291546 1306206 1411758 1569942 1696806 1725482 1937319 2073874 2117637 2545209 2588223 3110811 3874638 4235274 5090418 5176446 5811957 6221622 6352911 7103503 7635627 7764669 9332433 11623914 12705822 14207006 15271254 15529338 17435871 18664866 21310509 23294007 27997299 34871742 42621018 46588014 52307613 55994598 63931527 69097711 69882021 83991897 104615226 127863054 138195422 139764042 167983794 191794581 207293133 383589162 414586266 575383743 621879399 760074821 1150767486 1243758798 1520149642 1865638197 2280224463 3731276394 4560448926 5596914591 6840673389 11193829182 13681346778 20522020167 41044040334 61566060501 123132121002