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1000122120012 = 223281296596121
BaseRepresentation
bin11101000110110111110…
…11000111011101001100
310112121111020012202122110
432203123323013131030
5112341222230320022
62043241051544020
7132153646520031
oct16433373073514
93477436182573
101000122120012
11356170955524
121419b6a5b010
13734076856c2
1436598755388
151b03733a00c
hexe8dbec774c

1000122120012 has 24 divisors (see below), whose sum is σ = 2341922979312. Its totient is φ = 332187654400.

The previous prime is 1000122119951. The next prime is 1000122120017. The reversal of 1000122120012 is 2100212210001.

It is a super-3 number, since 3×10001221200123 (a number of 37 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1000122120012.

It is not an unprimeable number, because it can be changed into a prime (1000122120017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148294689 + ... + 148301432.

It is an arithmetic number, because the mean of its divisors is an integer number (97580124138).

Almost surely, 21000122120012 is an apocalyptic number.

1000122120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000122120012 is an abundant number, since it is smaller than the sum of its proper divisors (1341800859300).

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

1000122120012 is a wasteful number, since it uses less digits than its factorization.

1000122120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296596409 (or 296596407 counting only the distinct ones).

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

Adding to 1000122120012 its reverse (2100212210001), we get a palindrome (3100334330013).

The spelling of 1000122120012 in words is "one trillion, one hundred twenty-two million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 281 562 843 1124 1686 3372 296596121 593192242 889788363 1186384484 1779576726 3559153452 83343510001 166687020002 250030530003 333374040004 500061060006 1000122120012