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12001022012101 = 193726963461543
BaseRepresentation
bin1010111010100011010010…
…1001110110101011000101
31120111021201212011200211111
42232220310221312223011
53033111043113341401
641305105435205021
72346021340662433
oct256506451665305
946437655150744
1012001022012101
113907672072701
121419a65ba6771
136908cb365c85
142d6bd1619d53
1515c2929ede51
hexaea34a76ac5

12001022012101 has 16 divisors (see below), whose sum is σ = 13022308828800. Its totient is φ = 11020985229888.

The previous prime is 12001022012069. The next prime is 12001022012107. The reversal of 12001022012101 is 10121022010021.

It is a cyclic number.

It is not a de Polignac number, because 12001022012101 - 25 = 12001022012069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001022012107) 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 15 ways as a sum of consecutive naturals, for example, 31541665 + ... + 31919878.

It is an arithmetic number, because the mean of its divisors is an integer number (813894301800).

Almost surely, 212001022012101 is an apocalyptic number.

It is an amenable number.

12001022012101 is a deficient number, since it is larger than the sum of its proper divisors (1021286816699).

12001022012101 is a wasteful number, since it uses less digits than its factorization.

12001022012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63461868.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12001022012101 its reverse (10121022010021), we get a palindrome (22122044022122).

The spelling of 12001022012101 in words is "twelve trillion, one billion, twenty-two million, twelve thousand, one hundred one".

Divisors: 1 19 37 269 703 5111 9953 189107 63461543 1205769317 2348077091 17071155067 44613464729 324351946273 631632737479 12001022012101