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12440314112121 = 34737216026727
BaseRepresentation
bin1011010100000111110010…
…0000001110100001111001
31122001021121212202120010000
42311001330200032201321
53112310230403041441
642243000145343213
72422532403141060
oct265017440164171
948037555676100
1012440314112121
113a669a8aa8335
12148b024037b09
136c31691ac72c
14310185d571d7
15168903b9b2b6
hexb507c80e879

12440314112121 has 60 divisors (see below), whose sum is σ = 21828018894528. Its totient is φ = 6916622086368.

The previous prime is 12440314112081. The next prime is 12440314112167. The reversal of 12440314112121 is 12121141304421.

12440314112121 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 0 + 31 + 411 + 212 + 1 = 666.

It is not a de Polignac number, because 12440314112121 - 210 = 12440314111097 is a prime.

It is a super-2 number, since 2×124403141121212 (a number of 27 digits) contains 22 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 (12440314112221) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7237141 + ... + 8789586.

Almost surely, 212440314112121 is an apocalyptic number.

It is an amenable number.

12440314112121 is a deficient number, since it is larger than the sum of its proper divisors (9387704782407).

12440314112121 is an equidigital number, since it uses as much as digits as its factorization.

12440314112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16026820 (or 16026774 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 12440314112121 its reverse (12121141304421), we get a palindrome (24561455416542).

The spelling of 12440314112121 in words is "twelve trillion, four hundred forty billion, three hundred fourteen million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 37 63 81 111 189 259 333 567 777 999 1369 2331 2997 4107 6993 9583 12321 20979 28749 36963 86247 110889 258741 776223 16026727 48080181 112187089 144240543 336561267 432721629 592988899 1009683801 1298164887 1778966697 3029051403 4150922293 5336900091 9087154209 12452766879 16010700273 21940589263 37358300637 48032100819 65821767789 112074901911 153584124841 197465303367 336224705733 460752374523 592395910101 1382257123569 1777187730303 4146771370707 12440314112121