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1230123331122 = 237297101427079
BaseRepresentation
bin10001111001101001000…
…100000110111000110010
311100121011102001212211220
4101321221010012320302
5130123243033043442
62341035540045510
7154605413535600
oct21715104067062
94317142055756
101230123331122
11434768607674
1217a4a5993896
138c0003a1caa
14437770b8870
1521ee9576eec
hex11e69106e32

1230123331122 has 96 divisors (see below), whose sum is σ = 2920058709120. Its totient is φ = 344395699200.

The previous prime is 1230123331117. The next prime is 1230123331141. The reversal of 1230123331122 is 2211333210321.

It is a junction number, because it is equal to n+sod(n) for n = 1230123331092 and 1230123331101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2666779 + ... + 3093857.

It is an arithmetic number, because the mean of its divisors is an integer number (30417278220).

Almost surely, 21230123331122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230123331122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460029354560).

1230123331122 is an abundant number, since it is smaller than the sum of its proper divisors (1689935377998).

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

1230123331122 is a wasteful number, since it uses less digits than its factorization.

1230123331122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427296 (or 427289 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1230123331122 its reverse (2211333210321), we get a palindrome (3441456541443).

The spelling of 1230123331122 in words is "one trillion, two hundred thirty billion, one hundred twenty-three million, three hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 97 98 101 147 194 202 291 294 303 582 606 679 707 1358 1414 2037 2121 4074 4242 4753 4949 9506 9797 9898 14259 14847 19594 28518 29391 29694 58782 68579 137158 205737 411474 427079 480053 854158 960106 1281237 1440159 2562474 2880318 2989553 5979106 8968659 17937318 20926871 41426663 41853742 43134979 62780613 82853326 86269958 124279989 125561226 129404937 248559978 258809874 289986641 301944853 579973282 603889706 869959923 905834559 1739919846 1811669118 2029906487 2113613971 4059812974 4184092963 4227227942 6089719461 6340841913 8368185926 12179438922 12552278889 12681683826 25104557778 29288650741 58577301482 87865952223 175731904446 205020555187 410041110374 615061665561 1230123331122