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12001213112000 = 26537214307377
BaseRepresentation
bin1010111010100100000000…
…0010110101111011000000
31120111022020011202120121112
42232221000002311323000
53033111441024041000
641305140423142452
72346026151211130
oct256510002657300
946438204676545
1012001213112000
11390775aa26902
121419ab9ba4a28
1369092bb25238
142d6c0cb62ac0
1515c2a469b235
hexaea400b5ec0

12001213112000 has 112 divisors (see below), whose sum is σ = 33966862183488. Its totient is φ = 4114701619200.

The previous prime is 12001213111991. The next prime is 12001213112027. The reversal of 12001213112000 is 21131210021.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 107097689 + ... + 107209688.

Almost surely, 212001213112000 is an apocalyptic number.

12001213112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001213112000 is an abundant number, since it is smaller than the sum of its proper divisors (21965649071488).

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

12001213112000 is an equidigital number, since it uses as much as digits as its factorization.

12001213112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214307411 (or 214307391 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12001213112000 its reverse (21131210021), we get a palindrome (12022344322021).

The spelling of 12001213112000 in words is "twelve trillion, one billion, two hundred thirteen million, one hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 700 800 875 1000 1120 1400 1600 1750 2000 2240 2800 3500 4000 5600 7000 8000 11200 14000 28000 56000 214307377 428614754 857229508 1071536885 1500151639 1714459016 2143073770 3000303278 3428918032 4286147540 5357684425 6000606556 6857836064 7500758195 8572295080 10715368850 12001213112 13715672128 15001516390 17144590160 21430737700 24002426224 26788422125 30003032780 34289180320 37503790975 42861475400 48004852448 53576844250 60006065560 68578360640 75007581950 85722950800 96009704896 107153688500 120012131120 150015163900 171445901600 187518954875 214307377000 240024262240 300030327800 342891803200 375037909750 428614754000 480048524480 600060655600 750075819500 857229508000 1200121311200 1500151639000 1714459016000 2400242622400 3000303278000 6000606556000 12001213112000