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201212201120 = 2557421426731
BaseRepresentation
bin1011101101100100101…
…1101000100010100000
3201020100211020212211012
42323121023220202200
511244040310413440
6232234031440052
720352140330030
oct2733113504240
9636324225735
10201212201120
1178374050907
1232bb5686028
1315c884c6048
149a4b0a98c0
155379abee65
hex2ed92e88a0

201212201120 has 96 divisors (see below), whose sum is σ = 544564653696. Its totient is φ = 68823014400.

The previous prime is 201212201023. The next prime is 201212201149. The reversal of 201212201120 is 21102212102.

201212201120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201212201095 and 201212201104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258155 + ... + 684885.

It is an arithmetic number, because the mean of its divisors is an integer number (5672548476).

Almost surely, 2201212201120 is an apocalyptic number.

201212201120 is a gapful number since it is divisible by the number (20) 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 201212201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272282326848).

201212201120 is an abundant number, since it is smaller than the sum of its proper divisors (343352452576).

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

201212201120 is a wasteful number, since it uses less digits than its factorization.

201212201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427174 (or 427166 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201212201120 its reverse (21102212102), we get a palindrome (222314413222).

The spelling of 201212201120 in words is "two hundred one billion, two hundred twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 421 560 842 1120 1684 2105 2947 3368 4210 5894 6736 8420 11788 13472 14735 16840 23576 29470 33680 47152 58940 67360 94304 117880 235760 426731 471520 853462 1706924 2133655 2987117 3413848 4267310 5974234 6827696 8534620 11948468 13655392 14935585 17069240 23896936 29871170 34138480 47793872 59742340 68276960 95587744 119484680 179653751 238969360 359307502 477938720 718615004 898268755 1257576257 1437230008 1796537510 2515152514 2874460016 3593075020 5030305028 5748920032 6287881285 7186150040 10060610056 12575762570 14372300080 20121220112 25151525140 28744600160 40242440224 50303050280 100606100560 201212201120