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12520133276 = 2272171031912
BaseRepresentation
bin10111010100100001…
…00001001010011100
31012022112211200001212
423222100201022130
5201120123231101
65430205523552
7622155243200
oct135220411234
935275750055
1012520133276
11534531a492
122514b735b8
131246b488b1
1486ab34b00
154d42641bb
hex2ea42129c

12520133276 has 108 divisors (see below), whose sum is σ = 27392090544. Its totient is φ = 4974923520.

The previous prime is 12520133203. The next prime is 12520133279. The reversal of 12520133276 is 67233102521.

It is a super-3 number, since 3×125201332763 (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12520133279) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65550341 + ... + 65550531.

It is an arithmetic number, because the mean of its divisors is an integer number (253630468).

Almost surely, 212520133276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12520133276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13696045272).

12520133276 is an abundant number, since it is smaller than the sum of its proper divisors (14871957268).

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

12520133276 is a wasteful number, since it uses less digits than its factorization.

12520133276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

Adding to 12520133276 its reverse (67233102521), we get a palindrome (79753235797).

The spelling of 12520133276 in words is "twelve billion, five hundred twenty million, one hundred thirty-three thousand, two hundred seventy-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 103 119 191 196 206 238 382 412 476 721 764 833 1337 1442 1666 1751 2674 2884 3247 3332 3502 5047 5348 6494 7004 9359 10094 12257 12988 18718 19673 20188 22729 24514 36481 37436 39346 45458 49028 72962 78692 85799 90916 137711 145924 159103 171598 255367 275422 318206 334441 343196 510734 550844 620177 636412 668882 963977 1021468 1240354 1337764 1787569 1927954 2341087 2480708 3575138 3757543 3855908 4341239 4682174 7150276 7515086 8682478 9364348 15030172 16387609 17364956 26302801 30388673 32775218 52605602 60777346 63878231 65550436 105211204 121554692 127756462 184119607 255512924 368239214 447147617 736478428 894295234 1788590468 3130033319 6260066638 12520133276