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120200201000 = 235311101108191
BaseRepresentation
bin110111111110001111…
…1011000001100101000
3102111020221212212122022
41233330133120030220
53432132222413000
6131115203244012
711453446564535
oct1577437301450
9374227785568
10120200201000
1146a819750a0
121b366979608
13b447811cb9
145b63b7bd8c
1531d784e585
hex1bfc7d8328

120200201000 has 128 divisors (see below), whose sum is σ = 309879198720. Its totient is φ = 43276000000.

The previous prime is 120200200999. The next prime is 120200201027. The reversal of 120200201000 is 102002021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1056905 + ... + 1165095.

It is an arithmetic number, because the mean of its divisors is an integer number (2420931240).

Almost surely, 2120200201000 is an apocalyptic number.

120200201000 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 120200201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154939599360).

120200201000 is an abundant number, since it is smaller than the sum of its proper divisors (189678997720).

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

120200201000 is a wasteful number, since it uses less digits than its factorization.

120200201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108324 (or 108310 counting only the distinct ones).

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

Adding to 120200201000 its reverse (102002021), we get a palindrome (120302203021).

The spelling of 120200201000 in words is "one hundred twenty billion, two hundred million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 20200 22220 25250 27775 44440 50500 55550 101000 108191 111100 138875 216382 222200 277750 432764 540955 555500 865528 1081910 1111000 1190101 2163820 2380202 2704775 4327640 4760404 5409550 5950505 9520808 10819100 10927291 11901010 13523875 21638200 21854582 23802020 27047750 29752525 43709164 47604040 54095500 54636455 59505050 87418328 108191000 109272910 119010100 120200201 148762625 218545820 238020200 240400402 273182275 297525250 437091640 480800804 546364550 595050500 601001005 961601608 1092729100 1190101000 1202002010 1365911375 2185458200 2404004020 2731822750 3005005025 4808008040 5463645500 6010010050 10927291000 12020020100 15025025125 24040040200 30050050250 60100100500 120200201000