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12150061056 = 21132794169
BaseRepresentation
bin10110101000011001…
…10011100000000000
31011100202111001102100
423110030303200000
5144340403423211
65325345550400
7610042546350
oct132414634000
934322431370
1012150061056
115175435781
122431045400
1311b8285453
14833920b60
154b1a13156
hex2d4333800

12150061056 has 144 divisors (see below), whose sum is σ = 40105119600. Its totient is φ = 3471409152.

The previous prime is 12150060977. The next prime is 12150061057. The reversal of 12150061056 is 65016005121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12150061057) 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, 81940 + ... + 176108.

It is an arithmetic number, because the mean of its divisors is an integer number (278507775).

Almost surely, 212150061056 is an apocalyptic number.

12150061056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12150061056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20052559800).

12150061056 is an abundant number, since it is smaller than the sum of its proper divisors (27955058544).

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

12150061056 is an equidigital number, since it uses as much as digits as its factorization.

12150061056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94204 (or 94181 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 12150061056 its reverse (65016005121), we get a palindrome (77166066177).

It can be divided in two parts, 121500610 and 56, that added together give a triangular number (121500666 = T15588).

The spelling of 12150061056 in words is "twelve billion, one hundred fifty million, sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 9216 10752 14336 16128 18432 21504 32256 43008 64512 94169 129024 188338 282507 376676 565014 659183 753352 847521 1130028 1318366 1506704 1695042 1977549 2260056 2636732 3013408 3390084 3955098 4520112 5273464 5932647 6026816 6780168 7910196 9040224 10546928 11865294 12053632 13560336 15820392 18080448 21093856 23730588 24107264 27120672 31640784 36160896 42187712 47461176 48214528 54241344 63281568 72321792 84375424 94922352 96429056 108482688 126563136 144643584 168750848 189844704 192858112 216965376 253126272 289287168 337501696 379689408 433930752 506252544 578574336 675003392 759378816 867861504 1012505088 1350006784 1518757632 1735723008 2025010176 3037515264 4050020352 6075030528 12150061056