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2012121022219 = 721131210138461
BaseRepresentation
bin11101010001111011110…
…000100011111100001011
321010100122011200120120221
4131101323300203330023
5230431310440202334
64140204452330511
7265241143331200
oct35217360437413
97110564616527
102012121022219
11706376952220
12285b67313a37
131179857c0179
146d55c5b1ca7
15375171a68b4
hex1d47bc23f0b

2012121022219 has 72 divisors (see below), whose sum is σ = 2664632898288. Its totient is φ = 1502247600000.

The previous prime is 2012121022211. The next prime is 2012121022237. The reversal of 2012121022219 is 9122201212102.

It is a happy number.

It is not a de Polignac number, because 2012121022219 - 23 = 2012121022211 is a prime.

It is a super-2 number, since 2×20121210222192 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2012121022193 and 2012121022202.

It is not an unprimeable number, because it can be changed into a prime (2012121022211) 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 71 ways as a sum of consecutive naturals, for example, 52296649 + ... + 52335109.

It is an arithmetic number, because the mean of its divisors is an integer number (37008790254).

Almost surely, 22012121022219 is an apocalyptic number.

2012121022219 is a deficient number, since it is larger than the sum of its proper divisors (652511876069).

2012121022219 is a wasteful number, since it uses less digits than its factorization.

2012121022219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38649 (or 38611 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 2012121022219 in words is "two trillion, twelve billion, one hundred twenty-one million, twenty-two thousand, two hundred nineteen".

Divisors: 1 7 11 31 49 77 101 217 341 539 707 961 1111 1519 2387 3131 4949 6727 7777 10571 16709 21917 34441 38461 47089 54439 73997 97061 153419 241087 269227 423071 517979 679427 1067671 1192291 1687609 1884589 2961497 3884561 4755989 7473697 8346037 13115201 20730479 27191927 36961021 42730171 52315879 58422259 91806407 120421391 190343489 258727147 299111197 406571231 642644849 842949737 1324635301 1811090029 2093778379 2845998617 3733063121 5900648159 9272447107 19921990319 26131441847 41063694331 64907129749 182920092929 287445860317 2012121022219