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1211000021120 = 27517111305149
BaseRepresentation
bin10001100111110101001…
…110011110000010000000
311021202210200012002012002
4101213311032132002000
5124320112001133440
62324154205123132
7153330465224321
oct21476516360200
94252720162162
101211000021120
11427644a3983a
121768495594a8
138a27351bb46
1442881402448
152177a781115
hex119f539e080

1211000021120 has 64 divisors (see below), whose sum is σ = 3065343831000. Its totient is φ = 455905886208.

The previous prime is 1211000021117. The next prime is 1211000021129. The reversal of 1211000021120 is 211200001121.

It can be written as a sum of positive squares in 4 ways, for example, as 977076894784 + 233923126336 = 988472^2 + 483656^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1211000021129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55641695 + ... + 55663454.

Almost surely, 21211000021120 is an apocalyptic number.

1211000021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211000021120 is an abundant number, since it is smaller than the sum of its proper divisors (1854343809880).

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

1211000021120 is a wasteful number, since it uses less digits than its factorization.

1211000021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111305185 (or 111305173 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1211000021120 its reverse (211200001121), we get a palindrome (1422200022241).

The spelling of 1211000021120 in words is "one trillion, two hundred eleven billion, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 111305149 222610298 445220596 556525745 890441192 1113051490 1780882384 1892187533 2226102980 3561764768 3784375066 4452205960 7123529536 7568750132 8904411920 9460937665 14247059072 15137500264 17808823840 18921875330 30275000528 35617647680 37843750660 60550001056 71235295360 75687501320 121100002112 151375002640 242200004224 302750005280 605500010560 1211000021120