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1200120220 = 2251323200689
BaseRepresentation
bin100011110001000…
…0110000110011100
310002122020102110001
41013202012012130
54424212321340
6315030424044
741511565525
oct10742060634
93078212401
101200120220
115664890a2
12295b02024
13161837110
14b556184c
157056129a
hex4788619c

1200120220 has 48 divisors (see below), whose sum is σ = 2832137280. Its totient is φ = 423853056.

The previous prime is 1200120217. The next prime is 1200120223. The reversal of 1200120220 is 220210021.

It is an interprime number because it is at equal distance from previous prime (1200120217) and next prime (1200120223).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1200120197 and 1200120206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200120223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94365 + ... + 106324.

It is an arithmetic number, because the mean of its divisors is an integer number (59002860).

Almost surely, 21200120220 is an apocalyptic number.

1200120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200120220 is an abundant number, since it is smaller than the sum of its proper divisors (1632017060).

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

1200120220 is a wasteful number, since it uses less digits than its factorization.

1200120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200734 (or 200732 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1200120220 is about 34642.7513341536. The cubic root of 1200120220 is about 1062.6940548902.

Adding to 1200120220 its reverse (220210021), we get a palindrome (1420330241).

The spelling of 1200120220 in words is "one billion, two hundred million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5980 200689 401378 802756 1003445 2006890 2608957 4013780 4615847 5217914 9231694 10435828 13044785 18463388 23079235 26089570 46158470 52179140 60006011 92316940 120012022 240024044 300030055 600060110 1200120220