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12122311553253 = 32111931503142209
BaseRepresentation
bin1011000001100111001000…
…0100101111000011100101
31120220212210201211210020100
42300121302010233003211
53042102443224201003
641440525115054313
72360544116035146
oct260316204570345
946825721753210
1012122311553253
113954052931110
121439475741399
1369c18a765935
142dca19d1dacd
151604e0ccaba3
hexb067212f0e5

12122311553253 has 48 divisors (see below), whose sum is σ = 19202529790080. Its totient is φ = 7308129484800.

The previous prime is 12122311553237. The next prime is 12122311553269. The reversal of 12122311553253 is 35235511322121.

12122311553253 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 2 + 3 + 115 + 532 + 5 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (12122311553237) and next prime (12122311553269).

It is not a de Polignac number, because 12122311553253 - 24 = 12122311553237 is a prime.

It is a super-2 number, since 2×121223115532532 (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 (12122311553153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287176213 + ... + 287218421.

It is an arithmetic number, because the mean of its divisors is an integer number (400052703960).

Almost surely, 212122311553253 is an apocalyptic number.

It is an amenable number.

12122311553253 is a deficient number, since it is larger than the sum of its proper divisors (7080218236827).

12122311553253 is a wasteful number, since it uses less digits than its factorization.

12122311553253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57450 (or 57447 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

Adding to 12122311553253 its reverse (35235511322121), we get a palindrome (47357822875374).

The spelling of 12122311553253 in words is "twelve trillion, one hundred twenty-two billion, three hundred eleven million, five hundred fifty-three thousand, two hundred fifty-three".

Divisors: 1 3 9 11 33 99 193 579 1737 2123 6369 15031 19107 42209 45093 126627 135279 165341 379881 464299 496023 1392897 1488069 2900983 4178691 8146337 8702949 24439011 26108847 31910813 73317033 89609707 95732439 268829121 287197317 634443479 806487363 1903330437 5709991311 6978878269 20936634807 62809904421 122447591447 367342774341 1102028323023 1346923505917 4040770517751 12122311553253