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1122110012121 = 37241271687013
BaseRepresentation
bin10000010101000010111…
…101111111101011011001
310222021100202221202110120
4100111002331333223121
5121341040130341441
62215253515503453
7144032634505200
oct20250275775331
93867322852416
101122110012121
113a297a93738a
12161580457b89
1381a78667c97
143c44bac4237
151e2c6ab0966
hex10542f7fad9

1122110012121 has 48 divisors (see below), whose sum is σ = 1789446129408. Its totient is φ = 623257286400.

The previous prime is 1122110012087. The next prime is 1122110012131. The reversal of 1122110012121 is 1212100112211.

It is a happy number.

It is not a de Polignac number, because 1122110012121 - 27 = 1122110011993 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1122110012121.

It is not an unprimeable number, because it can be changed into a prime (1122110012131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1289811 + ... + 1976823.

It is an arithmetic number, because the mean of its divisors is an integer number (37280127696).

Almost surely, 21122110012121 is an apocalyptic number.

It is an amenable number.

1122110012121 is a deficient number, since it is larger than the sum of its proper divisors (667336117287).

1122110012121 is a wasteful number, since it uses less digits than its factorization.

1122110012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687342 (or 687335 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1122110012121 its reverse (1212100112211), we get a palindrome (2334210124332).

The spelling of 1122110012121 in words is "one trillion, one hundred twenty-two billion, one hundred ten million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 21 41 49 123 147 271 287 813 861 1897 2009 5691 6027 11111 13279 33333 39837 77777 233331 544439 687013 1633317 2061039 4809091 14427273 28167533 33663637 84502599 100990911 186180523 197172731 558541569 591518193 1303263661 1380209117 3909790983 4140627351 7633401443 9122845627 22900204329 27368536881 53433810101 160301430303 374036670707 1122110012121