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1000122112 = 2811283389
BaseRepresentation
bin111011100111001…
…010011100000000
32120200220110121201
4323213022130000
54022012401422
6243124030544
733532616623
oct7347123400
92520813551
101000122112
114735a7600
1223ab32454
1312c280942
1496b7ddba
155cc07727
hex3b9ca700

1000122112 has 108 divisors (see below), whose sum is σ = 2226467880. Its totient is φ = 447969280.

The previous prime is 1000122091. The next prime is 1000122161. The reversal of 1000122112 is 2112210001.

It is a super-2 number, since 2×10001221122 = 2000488477822681088, which contains 22 as substring.

It is a congruent number.

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, 2570814 + ... + 2571202.

Almost surely, 21000122112 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 1000122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113233940).

1000122112 is an abundant number, since it is smaller than the sum of its proper divisors (1226345768).

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

1000122112 is an equidigital number, since it uses as much as digits as its factorization.

1000122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1000122112 is about 31624.7073029933. The cubic root of 1000122112 is about 1000.0407023433.

Adding to 1000122112 its reverse (2112210001), we get a palindrome (3112332113).

The spelling of 1000122112 in words is "one billion, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 121 128 166 176 242 256 332 352 389 484 664 704 778 913 968 1328 1408 1556 1826 1936 2656 2816 3112 3652 3872 4279 5312 6224 7304 7744 8558 10043 10624 12448 14608 15488 17116 20086 21248 24896 29216 30976 32287 34232 40172 47069 49792 58432 64574 68464 80344 94138 99584 116864 129148 136928 160688 188276 233728 258296 273856 321376 355157 376552 516592 547712 642752 710314 753104 1033184 1095424 1285504 1420628 1506208 2066368 2571008 2841256 3012416 3906727 4132736 5682512 6024832 7813454 8265472 11365024 12049664 15626908 22730048 31253816 45460096 62507632 90920192 125015264 250030528 500061056 1000122112