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12210012012112 = 249727109290209
BaseRepresentation
bin1011000110101101110101…
…1011011011111001010000
31121020021011201201200221021
42301223131123123321100
53100022101033341422
641545111352205224
72400100323451135
oct261533533337120
947207151650837
1012210012012112
113988267514982
121452470399814
136a7526043885
14302d7966c58c
15162925326dc7
hexb1add6dbe50

12210012012112 has 40 divisors (see below), whose sum is σ = 23901747837800. Its totient is φ = 6041824100352.

The previous prime is 12210012012091. The next prime is 12210012012113. The reversal of 12210012012112 is 21121021001221.

It can be written as a sum of positive squares in 4 ways, for example, as 204452282896 + 12005559729216 = 452164^2 + 3464904^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210012012113) 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, 41928064 + ... + 42218272.

It is an arithmetic number, because the mean of its divisors is an integer number (597543695945).

Almost surely, 212210012012112 is an apocalyptic number.

It is an amenable number.

12210012012112 is a deficient number, since it is larger than the sum of its proper divisors (11691735825688).

12210012012112 is a wasteful number, since it uses less digits than its factorization.

12210012012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317423 (or 317417 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12210012012112 its reverse (21121021001221), we get a palindrome (33331033013333).

The spelling of 12210012012112 in words is "twelve trillion, two hundred ten billion, twelve million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 97 194 388 776 1552 27109 54218 108436 216872 290209 433744 580418 1160836 2321672 2629573 4643344 5259146 10518292 21036584 28150273 42073168 56300546 112601092 225202184 450404368 7867275781 15734551562 31469103124 62938206248 125876412496 763125750757 1526251501514 3052503003028 6105006006056 12210012012112