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1120001102120 = 235672272397703
BaseRepresentation
bin10000010011000101010…
…001001001000100101000
310222001220210200000210202
4100103011101021010220
5121322230240231440
62214304342331332
7143626446201425
oct20230521110450
93861823600722
101120001102120
113a1a9847305a
12161092129b48
138180077a744
143c2cb998d4c
151e201888615
hex104c5449128

1120001102120 has 128 divisors (see below), whose sum is σ = 2579964825600. Its totient is φ = 437474585856.

The previous prime is 1120001102089. The next prime is 1120001102147. The reversal of 1120001102120 is 212011000211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145394189 + ... + 145401891.

It is an arithmetic number, because the mean of its divisors is an integer number (20155975200).

Almost surely, 21120001102120 is an apocalyptic number.

1120001102120 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 1120001102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289982412800).

1120001102120 is an abundant number, since it is smaller than the sum of its proper divisors (1459963723480).

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

1120001102120 is a wasteful number, since it uses less digits than its factorization.

1120001102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247 (or 8243 counting only the distinct ones).

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

Adding to 1120001102120 its reverse (212011000211), we get a palindrome (1332012102331).

The spelling of 1120001102120 in words is "one trillion, one hundred twenty billion, one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 227 239 268 335 454 478 536 670 908 956 1135 1195 1340 1816 1912 2270 2390 2680 4540 4780 7703 9080 9560 15209 15406 16013 30418 30812 32026 38515 54253 60836 61624 64052 76045 77030 80065 108506 121672 128104 152090 154060 160130 217012 271265 304180 308120 320260 434024 516101 542530 608360 640520 1032202 1085060 1748581 1841017 2064404 2170120 2580505 3497162 3634951 3682034 4128808 5161010 6994324 7269902 7364068 8742905 9205085 10322020 13988648 14539804 14728136 17485810 18174755 18410170 20644040 29079608 34971620 36349510 36820340 69943240 72699020 73640680 117154927 123348139 145398040 234309854 246696278 417910859 468619708 493392556 585774635 616740695 835821718 937239416 986785112 1171549270 1233481390 1671643436 2089554295 2343098540 2466962780 3343286872 4179108590 4686197080 4933925560 8358217180 16716434360 28000027553 56000055106 112000110212 140000137765 224000220424 280000275530 560000551060 1120001102120