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123132001225422 = 23767734231141671
BaseRepresentation
bin11011111111110011100111…
…001100011000101011001110
3121010222022012212122100012110
4123333303213030120223032
5112114343314303203142
61113514021020444450
734635664530303120
oct3377634714305316
9533868185570173
10123132001225422
1136262a96713322
12119879820a9726
1353923b4617447
142259899129210
15e37e2c76399c
hex6ffce7318ace

123132001225422 has 128 divisors (see below), whose sum is σ = 289628669657088. Its totient is φ = 34172436038400.

The previous prime is 123132001225397. The next prime is 123132001225423. The reversal of 123132001225422 is 224522100231321.

It is a happy number.

It is a super-2 number, since 2×1231320012254222 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123132001225422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123132001225423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 869069647 + ... + 869211317.

It is an arithmetic number, because the mean of its divisors is an integer number (2262723981696).

Almost surely, 2123132001225422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123132001225422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144814334828544).

123132001225422 is an abundant number, since it is smaller than the sum of its proper divisors (166496668431666).

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

123132001225422 is a wasteful number, since it uses less digits than its factorization.

123132001225422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146054.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 123132001225422 its reverse (224522100231321), we get a palindrome (347654101456743).

The spelling of 123132001225422 in words is "one hundred twenty-three trillion, one hundred thirty-two billion, one million, two hundred twenty-five thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 67 73 134 146 201 219 402 438 469 511 938 1022 1407 1533 2814 3066 4231 4891 8462 9782 12693 14673 25386 29346 29617 34237 59234 68474 88851 102711 141671 177702 205422 283342 283477 308863 425013 566954 617726 850026 850431 926589 991697 1700862 1853178 1983394 1984339 2162041 2975091 3968678 4324082 5950182 5953017 6486123 9491957 10341983 11906034 12972246 18983914 20683966 20693821 28475871 31025949 41387642 56951742 62051898 62081463 66443699 72393881 124162926 132887398 144787762 144856747 199331097 217181643 289713494 398662194 434363286 434570241 599410001 692912861 869140482 1198820002 1385825722 1798230003 2078738583 3596460006 4157477166 4195870007 4850390027 8391740014 9700780054 12587610021 14551170081 25175220042 29102340162 40160470067 43756930073 80320940134 87513860146 120481410201 131270790219 240962820402 262541580438 281123290469 306298510511 562246580938 612597021022 843369871407 918895531533 1686739742814 1837791063066 2931714314891 5863428629782 8795142944673 17590285889346 20522000204237 41044000408474 61566000612711 123132001225422