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12127892720 = 245600725237
BaseRepresentation
bin10110100101110000…
…01111010011110000
31011022012202210011212
423102320033103300
5144314220031340
65323234455252
7606353246546
oct132270172360
934265683155
1012127892720
115163974339
122425734528
1311b37c30a8
148309cdd96
154aead4a65
hex2d2e0f4f0

12127892720 has 40 divisors (see below), whose sum is σ = 28203162144. Its totient is φ = 4850157312.

The previous prime is 12127892683. The next prime is 12127892723. The reversal of 12127892720 is 2729872121.

12127892720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12127892723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 467942 + ... + 493178.

Almost surely, 212127892720 is an apocalyptic number.

12127892720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12127892720 is an abundant number, since it is smaller than the sum of its proper divisors (16075269424).

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

12127892720 is a wasteful number, since it uses less digits than its factorization.

12127892720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31257 (or 31251 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 12127892720 in words is "twelve billion, one hundred twenty-seven million, eight hundred ninety-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6007 12014 24028 25237 30035 48056 50474 60070 96112 100948 120140 126185 201896 240280 252370 403792 480560 504740 1009480 2018960 151598659 303197318 606394636 757993295 1212789272 1515986590 2425578544 3031973180 6063946360 12127892720