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12267120332253 = 359101686195689
BaseRepresentation
bin1011001010000010100101…
…0110011000110111011101
31121102201120201002221122110
42302200221112120313131
53101441030301113003
642031234241504233
72404161451250253
oct262405126306735
947381521087573
1012267120332253
1139aa502696076
121461549942079
136aca27684097
14305a360745d3
15164168c80a03
hexb2829598ddd

12267120332253 has 16 divisors (see below), whose sum is σ = 16798070491200. Its totient is φ = 7959869980800.

The previous prime is 12267120332239. The next prime is 12267120332287. The reversal of 12267120332253 is 35223302176221.

12267120332253 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 12267120332253 - 218 = 12267120070109 is a prime.

It is a super-2 number, since 2×122671203322532 (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 (12267140332253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343079968 + ... + 343115721.

It is an arithmetic number, because the mean of its divisors is an integer number (1049879405700).

Almost surely, 212267120332253 is an apocalyptic number.

It is an amenable number.

12267120332253 is a deficient number, since it is larger than the sum of its proper divisors (4530950158947).

12267120332253 is a wasteful number, since it uses less digits than its factorization.

12267120332253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686195852.

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 12267120332253 in words is "twelve trillion, two hundred sixty-seven billion, one hundred twenty million, three hundred thirty-two thousand, two hundred fifty-three".

Divisors: 1 3 59 101 177 303 5959 17877 686195689 2058587067 40485545651 69305764589 121456636953 207917293767 4089040110751 12267120332253