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1022211222012 = 223229278742901
BaseRepresentation
bin11101110000000001000…
…10010110100111111100
310121201111122202102002100
432320000202112213330
5113221442033101022
62101333010025100
7133565230011231
oct16700042264774
93551448672070
101022211222012
11364576649822
12146140578190
1375517b03966
143769228b788
151b8cb6b91ac
hexee008969fc

1022211222012 has 108 divisors (see below), whose sum is σ = 2679558872536. Its totient is φ = 328561833600.

The previous prime is 1022211221987. The next prime is 1022211222059. The reversal of 1022211222012 is 2102221122201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23805762 + ... + 23848662.

Almost surely, 21022211222012 is an apocalyptic number.

1022211222012 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 1022211222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339779436268).

1022211222012 is an abundant number, since it is smaller than the sum of its proper divisors (1657347650524).

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

1022211222012 is a wasteful number, since it uses less digits than its factorization.

1022211222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43756 (or 43722 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1022211222012 its reverse (2102221122201), we get a palindrome (3124432344213).

It can be divided in two parts, 102221122201 and 2, that multiplied together give a palindrome (204442244402).

The spelling of 1022211222012 in words is "one trillion, twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 787 841 1044 1574 1682 2361 2523 3148 3364 4722 5046 7083 7569 9444 10092 14166 15138 22823 28332 30276 42901 45646 68469 85802 91292 128703 136938 171604 205407 257406 273876 386109 410814 514812 661867 772218 821628 1244129 1323734 1544436 1985601 2488258 2647468 3732387 3971202 4976516 5956803 7464774 7942404 11197161 11913606 14929548 22394322 23827212 33763087 36079741 44788644 67526174 72159482 101289261 108239223 135052348 144318964 202578522 216478446 303867783 324717669 405157044 432956892 607735566 649435338 979129523 1215471132 1298870676 1958259046 2937388569 3916518092 5874777138 8812165707 11749554276 17624331414 28394756167 35248662828 56789512334 85184268501 113579024668 170368537002 255552805503 340737074004 511105611006 1022211222012