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12135260405052 = 2234172203206319
BaseRepresentation
bin1011000010010111010111…
…1000101011110100111100
31120222010020011101121120000
42300211311320223310330
53042311003130430202
641450510041554300
72361513031333521
oct260456570536474
946863204347500
1012135260405052
113959598151124
12143ba8a1a5990
136a0472369715
142dd4c7973148
151609ec9c791c
hexb0975e2bd3c

12135260405052 has 60 divisors (see below), whose sum is σ = 33590083554720. Its totient is φ = 3807140517504.

The previous prime is 12135260405011. The next prime is 12135260405071. The reversal of 12135260405052 is 25050406253121.

12135260405052 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 52 + 60 + 40 + 505 + 2 = 666.

It is a super-2 number, since 2×121352604050522 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12135260404998 and 12135260405016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1101597652 + ... + 1101608667.

It is an arithmetic number, because the mean of its divisors is an integer number (559834725912).

Almost surely, 212135260405052 is an apocalyptic number.

12135260405052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12135260405052 is an abundant number, since it is smaller than the sum of its proper divisors (21454823149668).

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

12135260405052 is a wasteful number, since it uses less digits than its factorization.

12135260405052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203206352 (or 2203206341 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 12135260405052 its reverse (25050406253121), we get a palindrome (37185666658173).

The spelling of 12135260405052 in words is "twelve trillion, one hundred thirty-five billion, two hundred sixty million, four hundred five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 2203206319 4406412638 6609618957 8812825276 13219237914 19828856871 26438475828 37454507423 39657713742 59486570613 74909014846 79315427484 112363522269 118973141226 149818029692 178459711839 224727044538 237946282452 337090566807 356919423678 449454089076 674181133614 713838847356 1011271700421 1348362267228 2022543400842 3033815101263 4045086801684 6067630202526 12135260405052