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1000222010112 = 28313601166693
BaseRepresentation
bin11101000111000011110…
…00001010101100000000
310112121202012011201002210
432203201320022230000
5112341423313310422
62043255020542120
7132156301543563
oct16434170125400
93477665151083
101000222010112
11356212281426
12141a243b1940
137342228b180
14365a7b184da
151b040ebc10c
hexe8e1e0ab00

1000222010112 has 144 divisors (see below), whose sum is σ = 2871609533408. Its totient is φ = 307246694400.

The previous prime is 1000222010111. The next prime is 1000222010131. The reversal of 1000222010112 is 2110102220001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1000222010111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5917038 + ... + 6083730.

Almost surely, 21000222010112 is an apocalyptic number.

1000222010112 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 1000222010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435804766704).

1000222010112 is an abundant number, since it is smaller than the sum of its proper divisors (1871387523296).

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

1000222010112 is a wasteful number, since it uses less digits than its factorization.

1000222010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167326 (or 167312 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000222010112 its reverse (2110102220001), we get a palindrome (3110324230113).

The spelling of 1000222010112 in words is "one trillion, two hundred twenty-two million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 601 624 768 832 1202 1248 1664 1803 2404 2496 3328 3606 4808 4992 7212 7813 9616 9984 14424 15626 19232 23439 28848 31252 38464 46878 57696 62504 76928 93756 115392 125008 153856 166693 187512 230784 250016 333386 375024 461568 500032 500079 666772 750048 1000064 1000158 1333544 1500096 2000128 2000316 2167009 2667088 3000192 4000632 4334018 5334176 6000384 6501027 8001264 8668036 10668352 13002054 16002528 17336072 21336704 26004108 32005056 34672144 42673408 52008216 64010112 69344288 100182493 104016432 128020224 138688576 200364986 208032864 277377152 300547479 400729972 416065728 554754304 601094958 801459944 832131456 1202189916 1302372409 1602919888 1664262912 2404379832 2604744818 3205839776 3907117227 4808759664 5209489636 6411679552 7814234454 9617519328 10418979272 12823359104 15628468908 19235038656 20837958544 25646718208 31256937816 38470077312 41675917088 62513875632 76940154624 83351834176 125027751264 166703668352 250055502528 333407336704 500111005056 1000222010112