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1220012010112 = 27721731124377
BaseRepresentation
bin10001110000001110011…
…000011110101010000000
311022122001201211120000011
4101300032120132222000
5124442041033310422
62332244335234304
7154100014660600
oct21601630365200
94278051746004
101220012010112
11430449a79525
12178543678994
138b07b6090cc
1443098258c00
1521b06a2a077
hex11c0e61ea80

1220012010112 has 96 divisors (see below), whose sum is σ = 2843653156020. Its totient is φ = 519839502336.

The previous prime is 1220012010073. The next prime is 1220012010157. The reversal of 1220012010112 is 2110102100221.

It can be written as a sum of positive squares in 2 ways, for example, as 1044598467136 + 175413542976 = 1022056^2 + 418824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1220012010092 and 1220012010101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522868 + ... + 1647244.

Almost surely, 21220012010112 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 1220012010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421826578010).

1220012010112 is an abundant number, since it is smaller than the sum of its proper divisors (1623641145908).

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

1220012010112 is a wasteful number, since it uses less digits than its factorization.

1220012010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124578 (or 1124559 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1220012010112 its reverse (2110102100221), we get a palindrome (3330114110333).

The spelling of 1220012010112 in words is "one trillion, two hundred twenty billion, twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 173 196 224 346 392 448 692 784 896 1211 1384 1568 2422 2768 3136 4844 5536 6272 8477 9688 11072 16954 19376 22144 33908 38752 67816 77504 135632 155008 271264 542528 1085056 1124377 2248754 4497508 7870639 8995016 15741278 17990032 31482556 35980064 55094473 62965112 71960128 110188946 125930224 143920256 194517221 220377892 251860448 389034442 440755784 503720896 778068884 881511568 1007441792 1361620547 1556137768 1763023136 2723241094 3112275536 3526046272 5446482188 6224551072 7052092544 9531343829 10892964376 12449102144 19062687658 21785928752 24898204288 38125375316 43571857504 76250750632 87143715008 152501501264 174287430016 305003002528 610006005056 1220012010112