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1211001201120 = 25354016291569
BaseRepresentation
bin10001100111110101010…
…010111110000111100000
311021202210202102000211210
4101213311102332013200
5124320112301413440
62324154250310120
7153330511240464
oct21476522760740
94252722360753
101211001201120
11427645675347
12176849a28340
138a273842c79
144288162c4a4
152177a915a80
hex119f54be1e0

1211001201120 has 96 divisors (see below), whose sum is σ = 3824167243680. Its totient is φ = 322128281600.

The previous prime is 1211001201043. The next prime is 1211001201121. The reversal of 1211001201120 is 211021001121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12110012011202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1211001201096 and 1211001201105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211001201121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2953305 + ... + 3338264.

It is an arithmetic number, because the mean of its divisors is an integer number (39835075455).

Almost surely, 21211001201120 is an apocalyptic number.

1211001201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211001201120 is an abundant number, since it is smaller than the sum of its proper divisors (2613166042560).

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

1211001201120 is a wasteful number, since it uses less digits than its factorization.

1211001201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291988 (or 6291980 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1211001201120 its reverse (211021001121), we get a palindrome (1422022202241).

The spelling of 1211001201120 in words is "one trillion, two hundred eleven billion, one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 401 480 802 1203 1604 2005 2406 3208 4010 4812 6015 6416 8020 9624 12030 12832 16040 19248 24060 32080 38496 48120 64160 96240 192480 6291569 12583138 18874707 25166276 31457845 37749414 50332552 62915690 75498828 94373535 100665104 125831380 150997656 188747070 201330208 251662760 301995312 377494140 503325520 603990624 754988280 1006651040 1509976560 2522919169 3019953120 5045838338 7568757507 10091676676 12614595845 15137515014 20183353352 25229191690 30275030028 37843787535 40366706704 50458383380 60550060056 75687575070 80733413408 100916766760 121100120112 151375150140 201833533520 242200240224 302750300280 403667067040 605500600560 1211001201120