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1212122000112 = 243672571466551
BaseRepresentation
bin10001101000111000000…
…110011110101011110000
311021212200212101112000120
4101220320012132223300
5124324411213000422
62324501405050240
7153400341001152
oct21507006365360
94255625345016
101212122000112
114280702a6201
12176b01256980
138a3c1ac693a
144294a422ad2
15217e400945c
hex11a3819eaf0

1212122000112 has 80 divisors (see below), whose sum is σ = 3190419347712. Its totient is φ = 396461260800.

The previous prime is 1212122000099. The next prime is 1212122000113. The reversal of 1212122000112 is 2110002212121.

It is a junction number, because it is equal to n+sod(n) for n = 1212122000091 and 1212122000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212122000113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 93237 + ... + 1559787.

Almost surely, 21212122000112 is an apocalyptic number.

1212122000112 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 1212122000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595209673856).

1212122000112 is an abundant number, since it is smaller than the sum of its proper divisors (1978297347600).

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

1212122000112 is a wasteful number, since it uses less digits than its factorization.

1212122000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466886 (or 1466880 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1212122000112 its reverse (2110002212121), we get a palindrome (3322124212233).

The spelling of 1212122000112 in words is "one trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 257 268 402 514 536 771 804 1028 1072 1542 1608 2056 3084 3216 4112 6168 12336 17219 34438 51657 68876 103314 137752 206628 275504 413256 826512 1466551 2933102 4399653 5866204 8799306 11732408 17598612 23464816 35197224 70394448 98258917 196517834 294776751 376903607 393035668 589553502 753807214 786071336 1130710821 1179107004 1507614428 1572142672 2261421642 2358214008 3015228856 4522843284 4716428016 6030457712 9045686568 18091373136 25252541669 50505083338 75757625007 101010166676 151515250014 202020333352 303030500028 404040666704 606061000056 1212122000112