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12001113220032 = 263316274268647
BaseRepresentation
bin1010111010100011101000…
…0101110010001111000000
31120111021222012210112121000
42232220322011302033000
53033111234441020112
641305122454132000
72346023526145656
oct256507205621700
946437865715530
1012001113220032
1139077095a9562
121419a90651000
1369091421b971
142d6bdd79cdd6
1515c29aa187dc
hexaea3a1723c0

12001113220032 has 112 divisors (see below), whose sum is σ = 35302743435520. Its totient is φ = 3997911396096.

The previous prime is 12001113220021. The next prime is 12001113220051. The reversal of 12001113220032 is 23002231110021.

12001113220032 is a `hidden beast` number, since 1 + 200 + 111 + 322 + 0 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12001113219987 and 12001113220014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677133 + ... + 4945779.

Almost surely, 212001113220032 is an apocalyptic number.

12001113220032 is a gapful number since it is divisible by the number (12) 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 12001113220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17651371717760).

12001113220032 is an abundant number, since it is smaller than the sum of its proper divisors (23301630215488).

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

12001113220032 is a wasteful number, since it uses less digits than its factorization.

12001113220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4270295 (or 4270279 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12001113220032 its reverse (23002231110021), we get a palindrome (35003344330053).

The spelling of 12001113220032 in words is "twelve trillion, one billion, one hundred thirteen million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1627 1728 3254 4881 6508 9762 13016 14643 19524 26032 29286 39048 43929 52064 58572 78096 87858 104128 117144 156192 175716 234288 312384 351432 468576 702864 937152 1405728 2811456 4268647 8537294 12805941 17074588 25611882 34149176 38417823 51223764 68298352 76835646 102447528 115253469 136596704 153671292 204895056 230506938 273193408 307342584 409790112 461013876 614685168 819580224 922027752 1229370336 1844055504 2458740672 3688111008 6945088669 7376222016 13890177338 20835266007 27780354676 41670532014 55560709352 62505798021 83341064028 111121418704 125011596042 166682128056 187517394063 222242837408 250023192084 333364256112 375034788126 444485674816 500046384168 666728512224 750069576252 1000092768336 1333457024448 1500139152504 2000185536672 3000278305008 4000371073344 6000556610016 12001113220032