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12321478944016 = 2411254173915919
BaseRepresentation
bin1011001101001101000101…
…1000000010010100010000
31121121220220001102112120121
42303103101120002110100
53103333342102202031
642112224223320024
72411124506652034
oct263232130022420
947556801375517
1012321478944016
113a20567709700
12146bb9a450014
136b4bab425408
143085115c81c4
1516579b0d6011
hexb34d1602510

12321478944016 has 120 divisors (see below), whose sum is σ = 26326153212800. Its totient is φ = 5582404396800.

The previous prime is 12321478944001. The next prime is 12321478944017. The reversal of 12321478944016 is 61044987412321.

It is not an unprimeable number, because it can be changed into a prime (12321478944017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774002905 + ... + 774018823.

Almost surely, 212321478944016 is an apocalyptic number.

12321478944016 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 12321478944016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13163076606400).

12321478944016 is an abundant number, since it is smaller than the sum of its proper divisors (14004674268784).

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

12321478944016 is a wasteful number, since it uses less digits than its factorization.

12321478944016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17229 (or 17212 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 12321478944016 in words is "twelve trillion, three hundred twenty-one billion, four hundred seventy-eight million, nine hundred forty-four thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 541 739 968 1082 1478 1936 2164 2956 4328 5912 5951 8129 8656 11824 11902 15919 16258 23804 31838 32516 47608 63676 65032 65461 89419 95216 127352 130064 130922 175109 178838 254704 261844 350218 357676 399799 523688 700436 715352 799598 1047376 1400872 1430704 1599196 1926199 2801744 3198392 3852398 4397789 6396784 7704796 8612179 8795578 11764141 15409592 17224358 17591156 23528282 30819184 34448716 35182312 47056564 48375679 68897432 70364624 94113128 94733969 96751358 129405551 137794864 188226256 189467938 193502716 258811102 378935876 387005432 517622204 757871752 774010864 1035244408 1042073659 1423461061 1515743504 2070488816 2084147318 2846922122 4168294636 5693844244 6364400281 8336589272 11387688488 12728800562 16673178544 22775376976 25457601124 50915202248 70008403091 101830404496 140016806182 280033612364 560067224728 770092434001 1120134449456 1540184868002 3080369736004 6160739472008 12321478944016