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12135772272 = 2431319448353
BaseRepresentation
bin10110100110101100…
…10011000001110000
31011022202121002220010
423103112103001300
5144323224203042
65324115414520
7606510235161
oct132326230160
934282532803
1012135772272
115168366368
1224282b4440
1311b5321750
14831a81768
154b063e59c
hex2d3593070

12135772272 has 40 divisors (see below), whose sum is σ = 33762342544. Its totient is φ = 3734083584.

The previous prime is 12135772267. The next prime is 12135772277. The reversal of 12135772272 is 27227753121.

It is an interprime number because it is at equal distance from previous prime (12135772267) and next prime (12135772277).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 12135772272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135772277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9723553 + ... + 9724800.

Almost surely, 212135772272 is an apocalyptic number.

12135772272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12135772272 is an abundant number, since it is smaller than the sum of its proper divisors (21626570272).

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

12135772272 is a wasteful number, since it uses less digits than its factorization.

12135772272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19448377 (or 19448371 counting only the distinct ones).

The product of its digits is 82320, while the sum is 39.

The spelling of 12135772272 in words is "twelve billion, one hundred thirty-five million, seven hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 19448353 38896706 58345059 77793412 116690118 155586824 233380236 252828589 311173648 466760472 505657178 758485767 933520944 1011314356 1516971534 2022628712 3033943068 4045257424 6067886136 12135772272