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12020201120 = 255234769497
BaseRepresentation
bin10110011000111010…
…11011011010100000
31011000201010111002002
423030131123122200
5144104132413440
65304430343132
7603605011064
oct131435333240
934021114062
1012020201120
1151090aa014
1223b565aaa8
1311973b8655
14820599aa4
154a5411115
hex2cc75b6a0

12020201120 has 96 divisors (see below), whose sum is σ = 30263321088. Its totient is φ = 4501116928.

The previous prime is 12020201099. The next prime is 12020201161. The reversal of 12020201120 is 2110202021.

It is a happy number.

12020201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 138212 + ... + 207708.

It is an arithmetic number, because the mean of its divisors is an integer number (315242928).

Almost surely, 212020201120 is an apocalyptic number.

12020201120 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 12020201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15131660544).

12020201120 is an abundant number, since it is smaller than the sum of its proper divisors (18243119968).

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

12020201120 is a wasteful number, since it uses less digits than its factorization.

12020201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69582 (or 69574 counting only the distinct ones).

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

Adding to 12020201120 its reverse (2110202021), we get a palindrome (14130403141).

Subtracting from 12020201120 its reverse (2110202021), we obtain a palindrome (9909999099).

The spelling of 12020201120 in words is "twelve billion, twenty million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 47 80 92 94 115 160 184 188 230 235 368 376 460 470 736 752 920 940 1081 1504 1840 1880 2162 3680 3760 4324 5405 7520 8648 10810 17296 21620 34592 43240 69497 86480 138994 172960 277988 347485 555976 694970 1111952 1389940 1598431 2223904 2779880 3196862 3266359 5559760 6393724 6532718 7992155 11119520 12787448 13065436 15984310 16331795 25574896 26130872 31968620 32663590 51149792 52261744 63937240 65327180 75126257 104523488 127874480 130654360 150252514 255748960 261308720 300505028 375631285 522617440 601010056 751262570 1202020112 1502525140 2404040224 3005050280 6010100560 12020201120