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12014354000 = 2453111015407
BaseRepresentation
bin10110011000001110…
…00111111001010000
31011000022010102100002
423030013013321100
5144101133312000
65304101145132
7603504216065
oct131407077120
934008112302
1012014354000
115105875a90
1223b36bb1a8
13119611c10c
1481d8b6c6c
154a4b588d5
hex2cc1c7e50

12014354000 has 160 divisors (see below), whose sum is σ = 32011379712. Its totient is φ = 4324800000.

The previous prime is 12014353993. The next prime is 12014354063. The reversal of 12014354000 is 45341021.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2219297 + ... + 2224703.

Almost surely, 212014354000 is an apocalyptic number.

12014354000 is a gapful number since it is divisible by the number (10) 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 12014354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16005689856).

12014354000 is an abundant number, since it is smaller than the sum of its proper divisors (19997025712).

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

12014354000 is a wasteful number, since it uses less digits than its factorization.

12014354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 12014354000 its reverse (45341021), we get a palindrome (12059695021).

The spelling of 12014354000 in words is "twelve billion, fourteen million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 125 176 200 202 220 250 275 400 404 440 500 505 550 808 880 1000 1010 1100 1111 1375 1616 2000 2020 2200 2222 2525 2750 4040 4400 4444 5050 5407 5500 5555 8080 8888 10100 10814 11000 11110 12625 17776 20200 21628 22000 22220 25250 27035 27775 40400 43256 44440 50500 54070 55550 59477 86512 88880 101000 108140 111100 118954 135175 138875 202000 216280 222200 237908 270350 277750 297385 432560 444400 475816 540700 546107 555500 594770 675875 951632 1081400 1092214 1111000 1189540 1351750 1486925 2162800 2184428 2222000 2379080 2703500 2730535 2973850 4368856 4758160 5407000 5461070 5947700 6007177 7434625 8737712 10814000 10922140 11895400 12014354 13652675 14869250 21844280 23790800 24028708 27305350 29738500 30035885 43688560 48057416 54610700 59477000 60071770 68263375 96114832 109221400 118954000 120143540 136526750 150179425 218442800 240287080 273053500 300358850 480574160 546107000 600717700 750897125 1092214000 1201435400 1501794250 2402870800 3003588500 6007177000 12014354000