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12122133122323 = 7311011063520313
BaseRepresentation
bin1011000001100110011101…
…1100000100110100010011
31120220212100022002120000101
42300121213130010310103
53042102112034403243
641440455302433231
72360536521303310
oct260314734046423
946825308076011
1012122133122323
113953a71140334
121439425a32817
1369c15c7c0cc3
142dca00353d07
151604d02d254d
hexb0667704d13

12122133122323 has 32 divisors (see below), whose sum is σ = 14455971274752. Its totient is φ = 9946284192000.

The previous prime is 12122133122287. The next prime is 12122133122339. The reversal of 12122133122323 is 32322133122121.

It is a cyclic number.

It is not a de Polignac number, because 12122133122323 - 217 = 12122132991251 is a prime.

It is a super-2 number, since 2×121221331223232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122133122291 and 12122133122300.

It is not an unprimeable number, because it can be changed into a prime (12122133123323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23037615 + ... + 23557927.

It is an arithmetic number, because the mean of its divisors is an integer number (451749102336).

Almost surely, 212122133122323 is an apocalyptic number.

12122133122323 is a deficient number, since it is larger than the sum of its proper divisors (2333838152429).

12122133122323 is a wasteful number, since it uses less digits than its factorization.

12122133122323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521515.

The product of its digits is 5184, while the sum is 28.

Adding to 12122133122323 its reverse (32322133122121), we get a palindrome (44444266244444).

The spelling of 12122133122323 in words is "twelve trillion, one hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-two thousand, three hundred twenty-three".

Divisors: 1 7 31 101 217 707 1063 3131 7441 21917 32953 107363 230671 520313 751541 3328253 3642191 16129703 23297771 52551613 112907921 367861291 553092719 1629100003 3871649033 11403700021 17145874289 55862364619 120021120023 391036552333 1731733303189 12122133122323