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12275366112 = 2532311374929
BaseRepresentation
bin10110110111010101…
…10011100011100000
31011200111021012122100
423123222303203200
5200114443203422
65350023410400
7613123614252
oct133352634340
934614235570
1012275366112
11522a140279
122466bb3a00
131208218c59
1484641bcd2
154bca157ac
hex2dbab38e0

12275366112 has 72 divisors (see below), whose sum is σ = 36034165440. Its totient is φ = 3959792640.

The previous prime is 12275366107. The next prime is 12275366113. The reversal of 12275366112 is 21166357221.

12275366112 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 5 + 36 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×122753661122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12275366113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 678537 + ... + 696392.

It is an arithmetic number, because the mean of its divisors is an integer number (500474520).

Almost surely, 212275366112 is an apocalyptic number.

12275366112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12275366112 is an abundant number, since it is smaller than the sum of its proper divisors (23758799328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12275366112 is a wasteful number, since it uses less digits than its factorization.

12275366112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374976 (or 1374965 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 12275366112 in words is "twelve billion, two hundred seventy-five million, three hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 1374929 2749858 4124787 5499716 8249574 10999432 12374361 16499148 21998864 24748722 32998296 42622799 43997728 49497444 65996592 85245598 98994888 127868397 131993184 170491196 197989776 255736794 340982392 383605191 395979552 511473588 681964784 767210382 1022947176 1363929568 1534420764 2045894352 3068841528 4091788704 6137683056 12275366112