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1226412013212 = 2234231071538083
BaseRepresentation
bin10001110110001011110…
…110100011011010011100
311100020120202120101210000
4101312023312203122130
5130043142433410322
62335223401414300
7154414430053011
oct21661366433234
94306522511700
101226412013212
11433133677591
1217982aa9a390
138b85b5179a9
144350422d708
1521d7d8273ac
hex11d8bda369c

1226412013212 has 120 divisors (see below), whose sum is σ = 3376746527616. Its totient is φ = 387375180192.

The previous prime is 1226412013157. The next prime is 1226412013223. The reversal of 1226412013212 is 2123102146221.

1226412013212 is a `hidden beast` number, since 1 + 2 + 2 + 641 + 2 + 0 + 1 + 3 + 2 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28323 + ... + 1566405.

Almost surely, 21226412013212 is an apocalyptic number.

1226412013212 is a gapful number since it is divisible by the number (12) 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 1226412013212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688373263808).

1226412013212 is an abundant number, since it is smaller than the sum of its proper divisors (2150334514404).

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

1226412013212 is a wasteful number, since it uses less digits than its factorization.

1226412013212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538229 (or 1538218 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1226412013212 its reverse (2123102146221), we get a palindrome (3349514159433).

The spelling of 1226412013212 in words is "one trillion, two hundred twenty-six billion, four hundred twelve million, thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 107 108 138 162 207 214 276 321 324 414 428 621 642 828 963 1242 1284 1863 1926 2461 2484 2889 3726 3852 4922 5778 7383 7452 8667 9844 11556 14766 17334 22149 29532 34668 44298 66447 88596 132894 199341 265788 398682 797364 1538083 3076166 4614249 6152332 9228498 13842747 18456996 27685494 35375909 41528241 55370988 70751818 83056482 106127727 124584723 141503636 164574881 166112964 212255454 249169446 318383181 329149762 424510908 493724643 498338892 636766362 658299524 955149543 987449286 1273532724 1481173929 1910299086 1974898572 2865448629 2962347858 3785222263 3820598172 4443521787 5730897258 5924695716 7570444526 8887043574 11355666789 11461794516 13330565361 15140889052 17774087148 22711333578 26661130722 34067000367 45422667156 53322261444 68134000734 102201001101 136268001468 204402002202 306603003303 408804004404 613206006606 1226412013212