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12033123224121 = 34379954741057
BaseRepresentation
bin1010111100011010111000…
…0010010000101000111001
31120121100121001021020020000
42233012232002100220321
53034122314021132441
641331535051423213
72351236003534026
oct257065602205071
946540531236200
1012033123224121
11391a2453a239a
121424124754b09
13693945b5179c
142d8598b4854d
1515d020d2e2b6
hexaf1ae090a39

12033123224121 has 40 divisors (see below), whose sum is σ = 18025161628320. Its totient is φ = 7999882797312.

The previous prime is 12033123224029. The next prime is 12033123224179. The reversal of 12033123224121 is 12142232133021.

12033123224121 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 312 + 3 + 224 + 121 = 666.

It is not a de Polignac number, because 12033123224121 - 210 = 12033123223097 is a prime.

It is a super-3 number, since 3×120331232241213 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12033123224621) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 293062825 + ... + 293103881.

It is an arithmetic number, because the mean of its divisors is an integer number (450629040708).

Almost surely, 212033123224121 is an apocalyptic number.

It is an amenable number.

12033123224121 is a deficient number, since it is larger than the sum of its proper divisors (5992038404199).

12033123224121 is an equidigital number, since it uses as much as digits as its factorization.

12033123224121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50995 (or 50986 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12033123224121 its reverse (12142232133021), we get a palindrome (24175355357142).

The spelling of 12033123224121 in words is "twelve trillion, thirty-three billion, one hundred twenty-three million, two hundred twenty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 379 1137 3411 9547 10233 28641 30699 41057 85923 123171 257769 369513 773307 1108539 3325617 3618313 10854939 15560603 32564817 46681809 97694451 140045427 293083353 391971179 420136281 1175913537 1260408843 3527740611 10583221833 31749665499 148557076841 445671230523 1337013691569 4011041074707 12033123224121