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120201012200 = 23527912496091
BaseRepresentation
bin110111111110010001…
…0011110001111101000
3102111021000102002101202
41233330202132033220
53432132424342300
6131115232503332
711453456513543
oct1577442361750
9374230362352
10120201012200
1146a82379605
121b3670aab48
13b447a372b9
145b63d0d85a
1531d795ead5
hex1bfc89e3e8

120201012200 has 96 divisors (see below), whose sum is σ = 283278000000. Its totient is φ = 47425996800.

The previous prime is 120201012193. The next prime is 120201012203. The reversal of 120201012200 is 2210102021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120201012203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19731155 + ... + 19737245.

It is an arithmetic number, because the mean of its divisors is an integer number (2950812500).

Almost surely, 2120201012200 is an apocalyptic number.

120201012200 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 120201012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141639000000).

120201012200 is an abundant number, since it is smaller than the sum of its proper divisors (163076987800).

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

120201012200 is a wasteful number, since it uses less digits than its factorization.

120201012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7435 (or 7426 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120201012200 its reverse (2210102021), we get a palindrome (122411114221).

The spelling of 120201012200 in words is "one hundred twenty billion, two hundred one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 790 1249 1580 1975 2498 3160 3950 4996 6091 6245 7900 9992 12182 12490 15800 24364 24980 30455 31225 48728 49960 60910 62450 98671 121820 124900 152275 197342 243640 249800 304550 394684 481189 493355 609100 789368 962378 986710 1218200 1924756 1973420 2405945 2466775 3849512 3946840 4811890 4933550 7607659 9623780 9867100 12029725 15215318 19247560 19734200 24059450 30430636 38038295 48118900 60861272 76076590 96237800 152153180 190191475 304306360 380382950 601005061 760765900 1202010122 1521531800 2404020244 3005025305 4808040488 6010050610 12020101220 15025126525 24040202440 30050253050 60100506100 120201012200