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12124532455431 = 31137412232514327
BaseRepresentation
bin1011000001101111011001…
…1100110011100000000111
31120221002112111212022021120
42300123312130303200013
53042122020302033211
641441533332445023
72360653134301464
oct260336634634007
946832474768246
1012124532455431
113954a92537860
121439995479773
1369c452905236
142dcb8ac7c66b
151605c0c75d06
hexb06f6733807

12124532455431 has 128 divisors (see below), whose sum is σ = 18715866365952. Its totient is φ = 6914678400000.

The previous prime is 12124532455423. The next prime is 12124532455439. The reversal of 12124532455431 is 13455423542121.

12124532455431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12124532455423) and next prime (12124532455439).

It is not a de Polignac number, because 12124532455431 - 23 = 12124532455423 is a prime.

It is a super-2 number, since 2×121245324554312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12124532455439) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2802062190 + ... + 2802066516.

It is an arithmetic number, because the mean of its divisors is an integer number (146217705984).

Almost surely, 212124532455431 is an apocalyptic number.

12124532455431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12124532455431 is a deficient number, since it is larger than the sum of its proper divisors (6591333910521).

12124532455431 is a wasteful number, since it uses less digits than its factorization.

12124532455431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4893.

The product of its digits is 576000, while the sum is 42.

Adding to 12124532455431 its reverse (13455423542121), we get a palindrome (25579955997552).

The spelling of 12124532455431 in words is "twelve trillion, one hundred twenty-four billion, five hundred thirty-two million, four hundred fifty-five thousand, four hundred thirty-one".

Divisors: 1 3 11 33 37 41 111 123 223 251 407 451 669 753 1221 1353 1517 2453 2761 4327 4551 7359 8251 8283 9143 9287 10291 12981 16687 24753 27429 27861 30873 47597 50061 55973 90761 100573 102157 113201 142791 160099 167919 177407 272283 301719 306471 338291 339603 380767 480297 532221 615703 964921 1014873 1086077 1142301 1761089 1847109 1951477 2071001 2294893 2894763 3258231 3721201 4188437 5283267 5854431 6213003 6564059 6884679 10614131 11163603 11946847 12565311 19692177 22781011 25243823 31842393 35702077 35840541 39561761 40184849 44529157 68343033 72204649 75731469 84911041 107106231 118685283 120554547 133587471 216613947 242195171 254733123 392722847 435179371 442033339 489820727 726585513 934021451 1178168541 1305538113 1326100017 1463785157 1469462181 1647578809 2664146881 2802064353 4391355471 4942736427 7992440643 8961221327 9930002011 16101636727 18123366899 26883663981 29790006033 48304910181 54370100697 98573434597 109230022121 295720303791 327690066363 367410074407 1102230223221 4041510818477 12124532455431