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12055013152 = 2571331133541
BaseRepresentation
bin10110011101000100…
…01110011100100000
31011010010122010012121
423032202032130200
5144142040410102
65312112434024
7604506630640
oct131642163440
934103563177
1012055013152
115126816896
122405248914
1311a16869a0
1482505c520
154a84dab37
hex2ce88e720

12055013152 has 96 divisors (see below), whose sum is σ = 30152715264. Its totient is φ = 4615142400.

The previous prime is 12055013129. The next prime is 12055013153. The reversal of 12055013152 is 25131055021.

It is a super-3 number, since 3×120550131523 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12055013153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23502 + ... + 157042.

It is an arithmetic number, because the mean of its divisors is an integer number (314090784).

Almost surely, 212055013152 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 12055013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15076357632).

12055013152 is an abundant number, since it is smaller than the sum of its proper divisors (18097702112).

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

12055013152 is a wasteful number, since it uses less digits than its factorization.

12055013152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133602 (or 133594 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 12055013152 its reverse (25131055021), we get a palindrome (37186068173).

The spelling of 12055013152 in words is "twelve billion, fifty-five million, thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 91 104 112 124 182 208 217 224 248 364 403 416 434 496 728 806 868 992 1456 1612 1736 2821 2912 3224 3472 5642 6448 6944 11284 12896 22568 45136 90272 133541 267082 534164 934787 1068328 1736033 1869574 2136656 3472066 3739148 4139771 4273312 6944132 7478296 8279542 12152231 13888264 14956592 16559084 24304462 27776528 28978397 29913184 33118168 48608924 53817023 55553056 57956794 66236336 97217848 107634046 115913588 132472672 194435696 215268092 231827176 376719161 388871392 430536184 463654352 753438322 861072368 927308704 1506876644 1722144736 3013753288 6027506576 12055013152