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12001021002120 = 23354110124150811
BaseRepresentation
bin1010111010100011010010…
…0110000000000110001000
31120111021201210021101101210
42232220310212000012020
53033111042334031440
641305105401413120
72346021326255043
oct256506446000610
946437653241353
1012001021002120
113907671542907
121419a6579a1a0
136908cb0a1357
142d6bd1435c5a
1515c29289ea80
hexaea34980188

12001021002120 has 128 divisors (see below), whose sum is σ = 37246348298880. Its totient is φ = 3091303680000.

The previous prime is 12001021002109. The next prime is 12001021002121. The reversal of 12001021002120 is 2120012010021.

It is a super-3 number, since 3×120010210021203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12001021002096 and 12001021002105.

It is not an unprimeable number, because it can be changed into a prime (12001021002121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11578486 + ... + 12572325.

It is an arithmetic number, because the mean of its divisors is an integer number (290987096085).

Almost surely, 212001021002120 is an apocalyptic number.

12001021002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001021002120 is an abundant number, since it is smaller than the sum of its proper divisors (25245327296760).

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

12001021002120 is a wasteful number, since it uses less digits than its factorization.

12001021002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24150967 (or 24150963 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12001021002120 its reverse (2120012010021), we get a palindrome (14121033012141).

The spelling of 12001021002120 in words is "twelve trillion, one billion, twenty-one million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 101 120 123 164 202 205 246 303 328 404 410 492 505 606 615 808 820 984 1010 1212 1230 1515 1640 2020 2424 2460 3030 4040 4141 4920 6060 8282 12120 12423 16564 20705 24846 33128 41410 49692 62115 82820 99384 124230 165640 248460 496920 24150811 48301622 72452433 96603244 120754055 144904866 193206488 241508110 289809732 362262165 483016220 579619464 724524330 966032440 990183251 1449048660 1980366502 2439231911 2898097320 2970549753 3960733004 4878463822 4950916255 5941099506 7317695733 7921466008 9756927644 9901832510 11882199012 12196159555 14635391466 14852748765 19513855288 19803665020 23764398024 24392319110 29270782932 29705497530 36588478665 39607330040 48784638220 58541565864 59410995060 73176957330 97569276440 100008508351 118821990120 146353914660 200017016702 292707829320 300025525053 400034033404 500042541755 600051050106 800068066808 1000085083510 1200102100212 1500127625265 2000170167020 2400204200424 3000255250530 4000340334040 6000510501060 12001021002120