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1200001120112 = 242331193545023
BaseRepresentation
bin10001011101100101101…
…000111111011101110000
311020201102010211000111002
4101131211220333131300
5124130100241320422
62315134540341132
7152461101136454
oct21354550773560
94221363730432
101200001120112
11422a10391703
12174699b447a8
138920c8ba7b2
144211a73a664
1521334d5c692
hex11765a3f770

1200001120112 has 80 divisors (see below), whose sum is σ = 2517330690048. Its totient is φ = 552521502720.

The previous prime is 1200001120103. The next prime is 1200001120121. The reversal of 1200001120112 is 2110211000021.

It is an interprime number because it is at equal distance from previous prime (1200001120103) and next prime (1200001120121).

It is a junction number, because it is equal to n+sod(n) for n = 1200001120093 and 1200001120102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1929233 + ... + 2474255.

Almost surely, 21200001120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200001120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258665345024).

1200001120112 is an abundant number, since it is smaller than the sum of its proper divisors (1317329569936).

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

1200001120112 is a wasteful number, since it uses less digits than its factorization.

1200001120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545278 (or 545272 counting only the distinct ones).

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

Adding to 1200001120112 its reverse (2110211000021), we get a palindrome (3310212120133).

The spelling of 1200001120112 in words is "one trillion, two hundred billion, one million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 193 248 368 386 496 713 772 1426 1544 2852 3088 4439 5704 5983 8878 11408 11966 17756 23932 35512 47864 71024 95728 137609 275218 545023 550436 1090046 1100872 2180092 2201744 4360184 8720368 12535529 16895713 25071058 33791426 50142116 67582852 100284232 105189439 135165704 200568464 210378878 270331408 388601399 420757756 777202798 841515512 1554405596 1683031024 2419357097 3108811192 3260872609 4838714194 6217622384 6521745218 9677428388 13043490436 19354856776 26086980872 38709713552 52173961744 75000070007 150000140014 300000280028 600000560056 1200001120112