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120203012000 = 2553257116929
BaseRepresentation
bin110111111110010101…
…0000110011110100000
3102111021011011200121102
41233330222012132200
53432133432341000
6131115343413532
711453512513061
oct1577452063640
9374234150542
10120203012000
1146a83515035
121b3678b42a8
13b448287606
145b642b0568
1531d7c073d5
hex1bfca867a0

120203012000 has 96 divisors (see below), whose sum is σ = 296490514320. Its totient is φ = 47893708800.

The previous prime is 120203011993. The next prime is 120203012009. The reversal of 120203012000 is 210302021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 39003090064 + 81199921936 = 197492^2 + 284956^2 .

It is not an unprimeable number, because it can be changed into a prime (120203012009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969536 + ... + 1086464.

Almost surely, 2120203012000 is an apocalyptic number.

120203012000 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 120203012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148245257160).

120203012000 is an abundant number, since it is smaller than the sum of its proper divisors (176287502320).

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

120203012000 is a wasteful number, since it uses less digits than its factorization.

120203012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117211 (or 117193 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 120203012000 its reverse (210302021), we get a palindrome (120413314021).

The spelling of 120203012000 in words is "one hundred twenty billion, two hundred three million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 257 400 500 514 800 1000 1028 1285 2000 2056 2570 4000 4112 5140 6425 8224 10280 12850 20560 25700 32125 41120 51400 64250 102800 116929 128500 205600 233858 257000 467716 514000 584645 935432 1028000 1169290 1870864 2338580 2923225 3741728 4677160 5846450 9354320 11692900 14616125 18708640 23385800 29232250 30050753 46771600 58464500 60101506 93543200 116929000 120203012 150253765 233858000 240406024 300507530 467716000 480812048 601015060 751268825 961624096 1202030120 1502537650 2404060240 3005075300 3756344125 4808120480 6010150600 7512688250 12020301200 15025376500 24040602400 30050753000 60101506000 120203012000