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12601414152 = 23321710295273
BaseRepresentation
bin10111011110001101…
…00101001000001000
31012112012210011110200
423233012211020020
5201301430223102
65442232012200
7624163152525
oct135706451010
935465704420
1012601414152
115387195a68
122538231060
13125a936ca2
1487785214c
154db46c51c
hex2ef1a5208

12601414152 has 48 divisors (see below), whose sum is σ = 36136411740. Its totient is φ = 3953384448.

The previous prime is 12601414151. The next prime is 12601414159. The reversal of 12601414152 is 25141410621.

12601414152 is a `hidden beast` number, since 1 + 2 + 601 + 4 + 1 + 4 + 1 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12239881956 + 361532196 = 110634^2 + 19014^2 .

It is not an unprimeable number, because it can be changed into a prime (12601414151) 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, 5146413 + ... + 5148860.

Almost surely, 212601414152 is an apocalyptic number.

12601414152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12601414152 is an abundant number, since it is smaller than the sum of its proper divisors (23534997588).

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

12601414152 is a wasteful number, since it uses less digits than its factorization.

12601414152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10295302 (or 10295295 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 12601414152 its reverse (25141410621), we get a palindrome (37742824773).

The spelling of 12601414152 in words is "twelve billion, six hundred one million, four hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 10295273 20590546 30885819 41181092 61771638 82362184 92657457 123543276 175019641 185314914 247086552 350039282 370629828 525058923 700078564 741259656 1050117846 1400157128 1575176769 2100235692 3150353538 4200471384 6300707076 12601414152