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1211000122112 = 2811258766601
BaseRepresentation
bin10001100111110101001…
…110110110101100000000
311021202210200101012201112
4101213311032312230000
5124320112012401422
62324154211222452
7153330466124624
oct21476516665400
94252720335645
101211000122112
11427644aa8700
121768495a7a28
138a273555ac1
144288142b184
152177a7a0ee2
hex119f53b6b00

1211000122112 has 108 divisors (see below), whose sum is σ = 2661565374888. Its totient is φ = 549508608000.

The previous prime is 1211000122099. The next prime is 1211000122121. The reversal of 1211000122112 is 2112210001121.

It is a super-2 number, since 2×12110001221122 (a number of 25 digits) contains 22 as substring.

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, 18149612 + ... + 18216212.

Almost surely, 21211000122112 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 1211000122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330782687444).

1211000122112 is an abundant number, since it is smaller than the sum of its proper divisors (1450565252776).

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

1211000122112 is an equidigital number, since it uses as much as digits as its factorization.

1211000122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67226 (or 67201 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1211000122112 its reverse (2112210001121), we get a palindrome (3323210123233).

The spelling of 1211000122112 in words is "one trillion, two hundred eleven billion, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 587 704 968 1174 1408 1936 2348 2816 3872 4696 6457 7744 9392 12914 15488 18784 25828 30976 37568 51656 66601 71027 75136 103312 133202 142054 150272 206624 266404 284108 413248 532808 568216 732611 826496 1065616 1136432 1465222 1652992 2131232 2272864 2930444 4262464 4545728 5860888 8058721 8524928 9091456 11721776 16117442 17049856 18182912 23443552 32234884 39094787 46887104 64469768 78189574 93774208 128939536 156379148 187548416 257879072 312758296 430042657 515758144 625516592 860085314 1031516288 1251033184 1720170628 2063032576 2502066368 3440341256 4730469227 5004132736 6880682512 9460938454 10008265472 13761365024 18921876908 27522730048 37843753816 55045460096 75687507632 110090920192 151375015264 302750030528 605500061056 1211000122112