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1220125200 = 243527145253
BaseRepresentation
bin100100010111001…
…1010001000010000
310011000212210010020
41020232122020100
54444323001300
6321023303440
742143615220
oct11056321020
93130783106
101220125200
11576802138
122a074ab80
13165a1c898
14b808c080
15721b38a0
hex48b9a210

1220125200 has 120 divisors (see below), whose sum is σ = 4466851008. Its totient is φ = 278883840.

The previous prime is 1220125199. The next prime is 1220125279. The reversal of 1220125200 is 25210221.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1220125200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64227 + ... + 81026.

Almost surely, 21220125200 is an apocalyptic number.

1220125200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220125200 is an abundant number, since it is smaller than the sum of its proper divisors (3246725808).

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

1220125200 is a wasteful number, since it uses less digits than its factorization.

1220125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145281 (or 145270 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1220125200 is about 34930.2905799537. The cubic root of 1220125200 is about 1068.5662807899.

Adding to 1220125200 its reverse (25210221), we get a palindrome (1245335421).

It can be divided in two parts, 12201 and 25200, that added together give a triangular number (37401 = T273).

The spelling of 1220125200 in words is "one billion, two hundred twenty million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 145253 290506 435759 581012 726265 871518 1016771 1162024 1452530 1743036 2033542 2178795 2324048 2905060 3050313 3486072 3631325 4067084 4357590 5083855 5810120 6100626 6972144 7262650 8134168 8715180 10167710 10893975 11620240 12201252 14525300 15251565 16268336 17430360 20335420 21787950 24402504 25419275 29050600 30503130 34860720 40670840 43575900 48805008 50838550 58101200 61006260 76257825 81341680 87151800 101677100 122012520 152515650 174303600 203354200 244025040 305031300 406708400 610062600 1220125200