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120300200400 = 24352100250167
BaseRepresentation
bin111000000001001110…
…0110110000111010000
3102111111221001101000210
41300002130312013100
53432333322403100
6131133134444120
711456102555142
oct1600234660720
9374457041023
10120300200400
1147023366126
121b394363640
13b462455443
145b7316cc92
1531e1503c50
hex1c027361d0

120300200400 has 60 divisors (see below), whose sum is σ = 385361645792. Its totient is φ = 32080053120.

The previous prime is 120300200387. The next prime is 120300200401. The reversal of 120300200400 is 4002003021.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120300200401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50123884 + ... + 50126283.

Almost surely, 2120300200400 is an apocalyptic number.

120300200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120300200400 is an abundant number, since it is smaller than the sum of its proper divisors (265061445392).

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

120300200400 is a wasteful number, since it uses less digits than its factorization.

120300200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100250188 (or 100250177 counting only the distinct ones).

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

Adding to 120300200400 its reverse (4002003021), we get a palindrome (124302203421).

The spelling of 120300200400 in words is "one hundred twenty billion, three hundred million, two hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 100250167 200500334 300750501 401000668 501250835 601501002 802001336 1002501670 1203002004 1503752505 1604002672 2005003340 2406004008 2506254175 3007505010 4010006680 4812008016 5012508350 6015010020 7518762525 8020013360 10025016700 12030020040 15037525050 20050033400 24060040080 30075050100 40100066800 60150100200 120300200400