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12213501505440 = 253564739327349
BaseRepresentation
bin1011000110111010110101…
…1010110010111110100000
31121020121011220211022212220
42301232231122302332200
53100101222341133230
641550445524151040
72400252644611104
oct261565532627640
947217156738786
1012213501505440
113989798215964
121453084b38480
136a7960c71b21
143031cac93904
15162a7b85ad10
hexb1bad6b2fa0

12213501505440 has 96 divisors (see below), whose sum is σ = 38531993673600. Its totient is φ = 3251899751424.

The previous prime is 12213501505423. The next prime is 12213501505537. The reversal of 12213501505440 is 4450510531221.

It is a tau number, because it is divible by the number of its divisors (96).

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, 19353115 + ... + 19974234.

It is an arithmetic number, because the mean of its divisors is an integer number (401374934100).

Almost surely, 212213501505440 is an apocalyptic number.

12213501505440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213501505440 is an abundant number, since it is smaller than the sum of its proper divisors (26318492168160).

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

12213501505440 is a wasteful number, since it uses less digits than its factorization.

12213501505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39328014 (or 39328006 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 12213501505440 in words is "twelve trillion, two hundred thirteen billion, five hundred one million, five hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 647 1294 1941 2588 3235 3882 5176 6470 7764 9705 10352 12940 15528 19410 20704 25880 31056 38820 51760 62112 77640 103520 155280 310560 39327349 78654698 117982047 157309396 196636745 235964094 314618792 393273490 471928188 589910235 629237584 786546980 943856376 1179820470 1258475168 1573093960 1887712752 2359640940 3146187920 3775425504 4719281880 6292375840 9438563760 18877127520 25444794803 50889589606 76334384409 101779179212 127223974015 152668768818 203558358424 254447948030 305337537636 381671922045 407116716848 508895896060 610675075272 763343844090 814233433696 1017791792120 1221350150544 1526687688180 2035583584240 2442700301088 3053375376360 4071167168480 6106750752720 12213501505440