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120200120011000 = 2353832273637129
BaseRepresentation
bin11011010101001001000101…
…011101001000100011111000
3120202121000112000212220120201
4123111021011131020203320
5111223324321210323000
61103351101155131544
734214113012206361
oct3325110535104370
9522530460786521
10120200120011000
1135332648154457
1211593708ba3bb4
13520ba90577a73
142197a07070b68
15dd6a333d396a
hex6d52457488f8

120200120011000 has 128 divisors (see below), whose sum is σ = 284782736347200. Its totient is φ = 47479797964800.

The previous prime is 120200120010989. The next prime is 120200120011001. The reversal of 120200120011000 is 110021002021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120200120011001) 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, 188340436 + ... + 188977564.

Almost surely, 2120200120011000 is an apocalyptic number.

120200120011000 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 120200120011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142391368173600).

120200120011000 is an abundant number, since it is smaller than the sum of its proper divisors (164582616336200).

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

120200120011000 is a wasteful number, since it uses less digits than its factorization.

120200120011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639506 (or 639492 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120200120011000 its reverse (110021002021), we get a palindrome (120310141013021).

The spelling of 120200120011000 in words is "one hundred twenty trillion, two hundred billion, one hundred twenty million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 664 830 1000 1660 2075 2273 3320 4150 4546 8300 9092 10375 11365 16600 18184 20750 22730 41500 45460 56825 83000 90920 113650 188659 227300 284125 377318 454600 568250 637129 754636 943295 1136500 1274258 1509272 1886590 2273000 2548516 3185645 3773180 4716475 5097032 6371290 7546360 9432950 12742580 15928225 18865900 23582375 25485160 31856450 37731800 47164750 52881707 63712900 79641125 94329500 105763414 127425800 159282250 188659000 211526828 264408535 318564500 423053656 528817070 637129000 1057634140 1322042675 1448194217 2115268280 2644085350 2896388434 5288170700 5792776868 6610213375 7240971085 10576341400 11585553736 13220426750 14481942170 26440853500 28963884340 36204855425 52881707000 57927768680 72409710850 120200120011 144819421700 181024277125 240400240022 289638843400 362048554250 480800480044 601000600055 724097108500 961600960088 1202001200110 1448194217000 2404002400220 3005003000275 4808004800440 6010006000550 12020012001100 15025015001375 24040024002200 30050030002750 60100060005500 120200120011000