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120020200211120 = 24511136386591149
BaseRepresentation
bin11011010010100001100001…
…011001100100001010110000
3120201221211010010001002012212
4123102201201121210022300
5111212402332223223440
61103132304021311252
734165113306145016
oct3322414131441260
9521854103032185
10120020200211120
113527331010a870
1211564876265528
1351c7b19433a11
14218d019b908b6
15dd2002c6d465
hex6d28616642b0

120020200211120 has 40 divisors (see below), whose sum is σ = 304414871446800. Its totient is φ = 43643709167360.

The previous prime is 120020200210991. The next prime is 120020200211143. The reversal of 120020200211120 is 21112002020021.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×1200202002111204 (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120020200211095 and 120020200211104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68193294695 + ... + 68193296454.

It is an arithmetic number, because the mean of its divisors is an integer number (7610371786170).

Almost surely, 2120020200211120 is an apocalyptic number.

120020200211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020200211120 is an abundant number, since it is smaller than the sum of its proper divisors (184394671235680).

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

120020200211120 is a wasteful number, since it uses less digits than its factorization.

120020200211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136386591173 (or 136386591167 counting only the distinct ones).

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

Adding to 120020200211120 its reverse (21112002020021), we get a palindrome (141132202231141).

The spelling of 120020200211120 in words is "one hundred twenty trillion, twenty billion, two hundred million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 136386591149 272773182298 545546364596 681932955745 1091092729192 1363865911490 1500252502639 2182185458384 2727731822980 3000505005278 5455463645960 6001010010556 7501262513195 10910927291920 12002020021112 15002525026390 24004040042224 30005050052780 60010100105560 120020200211120