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1001212021200 = 243525881141871
BaseRepresentation
bin11101001000111001110…
…00110000100111010000
310112201022012001111000010
432210130320300213100
5112400440234134300
62043541144154520
7132222652522356
oct16443470604720
93481265044003
101001212021200
113566800a2406
1214205ba68a40
137354c40b851
143665d3c57d6
151b09cd78a50
hexe91ce309d0

1001212021200 has 120 divisors (see below), whose sum is σ = 3207783803776. Its totient is φ = 266942592000.

The previous prime is 1001212021181. The next prime is 1001212021217. The reversal of 1001212021200 is 21202121001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10012120212002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6986265 + ... + 7128135.

Almost surely, 21001212021200 is an apocalyptic number.

1001212021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001212021200 is an abundant number, since it is smaller than the sum of its proper divisors (2206571782576).

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

1001212021200 is a wasteful number, since it uses less digits than its factorization.

1001212021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147773 (or 147762 counting only the distinct ones).

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

Adding to 1001212021200 its reverse (21202121001), we get a palindrome (1022414142201).

The spelling of 1001212021200 in words is "one trillion, one billion, two hundred twelve million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 5881 11762 17643 23524 29405 35286 47048 58810 70572 88215 94096 117620 141144 141871 147025 176430 235240 282288 283742 294050 352860 425613 441075 470480 567484 588100 705720 709355 851226 882150 1134968 1176200 1411440 1418710 1702452 1764300 2128065 2269936 2352400 2837420 3404904 3528600 3546775 4256130 5674840 6809808 7057200 7093550 8512260 10640325 11349680 14187100 17024520 21280650 28374200 34049040 42561300 56748400 85122600 170245200 834343351 1668686702 2503030053 3337373404 4171716755 5006060106 6674746808 8343433510 10012120212 12515150265 13349493616 16686867020 20024240424 20858583775 25030300530 33373734040 40048480848 41717167550 50060601060 62575751325 66747468080 83434335100 100121202120 125151502650 166868670200 200242404240 250303005300 333737340400 500606010600 1001212021200