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1022211221112 = 23335134192177
BaseRepresentation
bin11101110000000001000…
…10010110011001111000
310121201111122202100212000
432320000202112121320
5113221442033033422
62101333010021000
7133565230005504
oct16700042263170
93551448670760
101022211221112
11364576649084
12146140577760
1375517b03423
143769228b304
151b8cb6b8cac
hexee00896678

1022211221112 has 64 divisors (see below), whose sum is σ = 2839561725600. Its totient is φ = 340726740480.

The previous prime is 1022211221107. The next prime is 1022211221117. The reversal of 1022211221112 is 2111221122201.

It is an interprime number because it is at equal distance from previous prime (1022211221107) and next prime (1022211221117).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022211221117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11043568 + ... + 11135744.

Almost surely, 21022211221112 is an apocalyptic number.

1022211221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022211221112 is an abundant number, since it is smaller than the sum of its proper divisors (1817350504488).

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

1022211221112 is a wasteful number, since it uses less digits than its factorization.

1022211221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143533 (or 143523 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1022211221112 its reverse (2111221122201), we get a palindrome (3133432343313).

The spelling of 1022211221112 in words is "one trillion, twenty-two billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 51341 92177 102682 154023 184354 205364 276531 308046 368708 410728 462069 553062 616092 737416 829593 924138 1106124 1232184 1386207 1659186 1848276 2212248 2488779 2772414 3318372 3696552 4977558 5544828 6636744 9955116 11089656 19910232 4732459357 9464918714 14197378071 18929837428 28394756142 37859674856 42592134213 56789512284 85184268426 113579024568 127776402639 170368536852 255552805278 340737073704 511105610556 1022211221112