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120992000 = 285319199
BaseRepresentation
bin1110011011000…
…11000100000000
322102200000211012
413031203010000
5221433221000
620001140052
72666262233
oct715430400
9272600735
10120992000
116232a098
123462a628
131c0b35cc
14120d741a
15a94e735
hex7363100

120992000 has 144 divisors (see below), whose sum is σ = 318864000. Its totient is φ = 45619200.

The previous prime is 120991991. The next prime is 120992021. The reversal of 120992000 is 299021.

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, 607901 + ... + 608099.

Almost surely, 2120992000 is an apocalyptic number.

120992000 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 120992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159432000).

120992000 is an abundant number, since it is smaller than the sum of its proper divisors (197872000).

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

120992000 is an equidigital number, since it uses as much as digits as its factorization.

120992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 120992000 is about 10999.6363576256. The cubic root of 120992000 is about 494.5978436164.

The spelling of 120992000 in words is "one hundred twenty million, nine hundred ninety-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 199 200 250 256 304 320 380 398 400 475 500 608 640 760 796 800 950 995 1000 1216 1280 1520 1592 1600 1900 1990 2000 2375 2432 3040 3184 3200 3781 3800 3980 4000 4750 4864 4975 6080 6368 6400 7562 7600 7960 8000 9500 9950 12160 12736 15124 15200 15920 16000 18905 19000 19900 24320 24875 25472 30248 30400 31840 32000 37810 38000 39800 49750 50944 60496 60800 63680 75620 76000 79600 94525 99500 120992 121600 127360 151240 152000 159200 189050 199000 241984 254720 302480 304000 318400 378100 398000 472625 483968 604960 608000 636800 756200 796000 945250 967936 1209920 1273600 1512400 1592000 1890500 2419840 3024800 3184000 3781000 4839680 6049600 6368000 7562000 12099200 15124000 24198400 30248000 60496000 120992000