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12320033002004 = 22713531373465119
BaseRepresentation
bin1011001101000111101100…
…1100001101001000010100
31121121210011021122002000202
42303101323030031020110
53103322411422031004
642111424532000032
72411043621442460
oct263217314151024
947553137562022
1012320033002004
113a1a9954a1002
12146b856160018
136b4a0a9ac620
143084155574a0
151657141b8b1e
hexb347b30d214

12320033002004 has 96 divisors (see below), whose sum is σ = 27055874119680. Its totient is φ = 4778406517248.

The previous prime is 12320033001959. The next prime is 12320033002021. The reversal of 12320033002004 is 40020033002321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26255357 + ... + 26720475.

It is an arithmetic number, because the mean of its divisors is an integer number (281832022080).

Almost surely, 212320033002004 is an apocalyptic number.

12320033002004 is a gapful number since it is divisible by the number (14) 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 12320033002004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13527937059840).

12320033002004 is an abundant number, since it is smaller than the sum of its proper divisors (14735841117676).

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

12320033002004 is a wasteful number, since it uses less digits than its factorization.

12320033002004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466569 (or 466567 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12320033002004 its reverse (40020033002321), we get a palindrome (52340066004325).

The spelling of 12320033002004 in words is "twelve trillion, three hundred twenty billion, thirty-three million, two thousand, four".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 182 212 364 371 689 742 1373 1378 1484 2746 2756 4823 5492 9611 9646 17849 19222 19292 35698 38444 71396 72769 124943 145538 249886 291076 465119 499772 509383 930238 945997 1018766 1860476 1891994 2037532 3255833 3783988 6046547 6511666 6621979 12093094 13023332 13243958 24186188 24651307 26487916 42325829 49302614 84651658 98605228 169303316 172559149 320466991 345118298 638608387 640933982 690236596 1277216774 1281867964 2243268937 2554433548 4470258709 4486537874 8301909031 8940517418 8973075748 16603818062 17881034836 33207636124 33846244511 58113363217 67692489022 116226726434 135384978044 232453452868 236923711577 440001178643 473847423154 880002357286 947694846308 1760004714572 3080008250501 6160016501002 12320033002004