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12124233242121 = 371113171929431021
BaseRepresentation
bin1011000001101110010010…
…0111011001011000001001
31120221001202122211200210010
42300123210213121120021
53042120412202221441
641441443523342133
72360642542106460
oct260334447313011
946831678750703
1012124233242121
113954949650430
121439911221949
1369c405921540
142dcb5d2319d7
151605a4870116
hexb06e49d9609

12124233242121 has 256 divisors, whose sum is σ = 25025482137600. Its totient is φ = 5005073203200.

The previous prime is 12124233242119. The next prime is 12124233242141.

12124233242121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12124233242121 - 21 = 12124233242119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12124233242141) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27913591 + ... + 28344611.

It is an arithmetic number, because the mean of its divisors is an integer number (97755789600).

Almost surely, 212124233242121 is an apocalyptic number.

12124233242121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12124233242121 is an abundant number, since it is smaller than the sum of its proper divisors (12901248895479).

12124233242121 is a wasteful number, since it uses less digits than its factorization.

12124233242121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431120.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 1212423 and 3242121, that added together give a palindrome (4454544).

The spelling of 12124233242121 in words is "twelve trillion, one hundred twenty-four billion, two hundred thirty-three million, two hundred forty-two thousand, one hundred twenty-one".