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12124033042121 = 7111341579291299
BaseRepresentation
bin1011000001101101100010…
…1011101100011011001001
31120221001020201010111000022
42300123120223230123021
53042120004424321441
641441412012350225
72360634561330140
oct260333053543311
946831221114008
1012124033042121
113954856641190
121439876175375
1369c3a32c71c0
142dcb407da757
15160591ec684b
hexb06d8aec6c9

12124033042121 has 32 divisors (see below), whose sum is σ = 16278869376000. Its totient is φ = 8720343535680.

The previous prime is 12124033042117. The next prime is 12124033042127.

It is a happy number.

12124033042121 is nontrivially palindromic in base 10.

12124033042121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12124033042121 - 22 = 12124033042117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12124033042127) 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, 41474930 + ... + 41766228.

It is an arithmetic number, because the mean of its divisors is an integer number (508714668000).

Almost surely, 212124033042121 is an apocalyptic number.

12124033042121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12124033042121 is a deficient number, since it is larger than the sum of its proper divisors (4154836333879).

12124033042121 is a wasteful number, since it uses less digits than its factorization.

12124033042121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332909.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 1212403 and 3042121, that added together give a palindrome (4254524).

The spelling of 12124033042121 in words is "twelve trillion, one hundred twenty-four billion, thirty-three million, forty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 41579 291053 291299 457369 540527 2039093 3201583 3204289 3783689 3786887 5945797 22430023 26508209 41620579 41655757 291590299 12111921121 84783447847 133231132331 157454974573 932617926317 1102184822011 1732004720303 12124033042121