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12210012321 = 3133729328879
BaseRepresentation
bin10110101111100011…
…00000000010100001
31011111221021220002120
423113301200002201
5200001230343241
65335330534453
7611401251363
oct132761400241
934457256076
1012210012321
1151a6262a81
122449137429
1311c7816180
1483b888d33
154b6e06666
hex2d7c600a1

12210012321 has 32 divisors (see below), whose sum is σ = 18068252160. Its totient is φ = 7285572864.

The previous prime is 12210012319. The next prime is 12210012343. The reversal of 12210012321 is 12321001221.

It is not a de Polignac number, because 12210012321 - 21 = 12210012319 is a prime.

12210012321 is a modest number, since divided by 12321 gives 12210 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 12210012321.

It is not an unprimeable number, because it can be changed into a prime (12210010321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408360 + ... + 437238.

It is an arithmetic number, because the mean of its divisors is an integer number (564632880).

Almost surely, 212210012321 is an apocalyptic number.

It is an amenable number.

12210012321 is a deficient number, since it is larger than the sum of its proper divisors (5858239839).

12210012321 is a wasteful number, since it uses less digits than its factorization.

12210012321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29225.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12210012321 its reverse (12321001221), we get a palindrome (24531013542).

It can be divided in two parts, 122100 and 12321, that added together give a triangular number (134421 = T518).

The spelling of 12210012321 in words is "twelve billion, two hundred ten million, twelve thousand, three hundred twenty-one".

Divisors: 1 3 13 37 39 111 293 481 879 1443 3809 10841 11427 28879 32523 86637 140933 375427 422799 1068523 1126281 3205569 8461547 13890799 25384641 41672397 110000111 313077239 330000333 939231717 4070004107 12210012321