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120200230020 = 2235131259122401
BaseRepresentation
bin110111111110001111…
…1011111010010000100
3102111020221221100110010
41233330133133102010
53432132224330040
6131115204030220
711453450045253
oct1577437372204
9374227840403
10120200230020
1146a81994982
121b366992370
13b447822280
145b63b8879a
1531d7857e80
hex1bfc7df484

120200230020 has 96 divisors (see below), whose sum is σ = 362740775040. Its totient is φ = 29564006400.

The previous prime is 120200230019. The next prime is 120200230061. The reversal of 120200230020 is 20032002021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120200229978 and 120200230005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 920820 + ... + 1043220.

It is an arithmetic number, because the mean of its divisors is an integer number (3778549740).

Almost surely, 2120200230020 is an apocalyptic number.

120200230020 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 120200230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181370387520).

120200230020 is an abundant number, since it is smaller than the sum of its proper divisors (242540545020).

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

120200230020 is a wasteful number, since it uses less digits than its factorization.

120200230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123685 (or 123683 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 120200230020 its reverse (20032002021), we get a palindrome (140232232041).

The spelling of 120200230020 in words is "one hundred twenty billion, two hundred million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1259 2518 3777 5036 6295 7554 12590 15108 16367 18885 25180 32734 37770 49101 65468 75540 81835 98202 122401 163670 196404 244802 245505 327340 367203 489604 491010 612005 734406 982020 1224010 1468812 1591213 1836015 2448020 3182426 3672030 4773639 6364852 7344060 7956065 9547278 15912130 19094556 23868195 31824260 47736390 95472780 154102859 308205718 462308577 616411436 770514295 924617154 1541028590 1849234308 2003337167 2311542885 3082057180 4006674334 4623085770 6010011501 8013348668 9246171540 10016685835 12020023002 20033371670 24040046004 30050057505 40066743340 60100115010 120200230020