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120200130320 = 24529281918379
BaseRepresentation
bin110111111110001111…
…1000110111100010000
3102111020221202021200112
41233330133012330100
53432132213132240
6131115201540452
711453446151504
oct1577437067420
9374227667615
10120200130320
1146a81926a86
121b366944728
13b4477b8a8a
145b63b60304
1531d7838665
hex1bfc7c6f10

120200130320 has 80 divisors (see below), whose sum is σ = 289220328000. Its totient is φ = 46403126784.

The previous prime is 120200130319. The next prime is 120200130341. The reversal of 120200130320 is 23031002021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 120200130295 and 120200130304.

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, 6530891 + ... + 6549269.

It is an arithmetic number, because the mean of its divisors is an integer number (3615254100).

Almost surely, 2120200130320 is an apocalyptic number.

120200130320 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 120200130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144610164000).

120200130320 is an abundant number, since it is smaller than the sum of its proper divisors (169020197680).

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

120200130320 is a wasteful number, since it uses less digits than its factorization.

120200130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21240 (or 21234 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 120200130320 its reverse (23031002021), we get a palindrome (143231132341).

It can be divided in two parts, 1202001 and 30320, that added together give a palindrome (1232321).

The spelling of 120200130320 in words is "one hundred twenty billion, two hundred million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 2819 5638 11276 14095 18379 22552 28190 36758 45104 56380 73516 81751 91895 112760 147032 163502 183790 225520 294064 327004 367580 408755 532991 654008 735160 817510 1065982 1308016 1470320 1635020 2131964 2664955 3270040 4263928 5329910 6540080 8527856 10659820 21319640 42639280 51810401 103620802 207241604 259052005 414483208 518104010 828966416 1036208020 1502501629 2072416040 3005003258 4144832080 6010006516 7512508145 12020013032 15025016290 24040026064 30050032580 60100065160 120200130320