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12200211001 = 1128116132447
BaseRepresentation
bin10110101110011000…
…00111001000111001
31011111020211221012201
423113030013020321
5144441223223001
65334340510201
7611222040166
oct132714071071
934436757181
1012200211001
1151a0779110
1224459ab361
1311c5793b84
1483a45706d
154b611c501
hex2d7307239

12200211001 has 16 divisors (see below), whose sum is σ = 13370427648. Its totient is φ = 11040265600.

The previous prime is 12200210963. The next prime is 12200211091. The reversal of 12200211001 is 10011200221.

12200211001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12200211001 - 221 = 12198113849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12200211091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4984560 + ... + 4987006.

It is an arithmetic number, because the mean of its divisors is an integer number (835651728).

Almost surely, 212200211001 is an apocalyptic number.

12200211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200211001 is a deficient number, since it is larger than the sum of its proper divisors (1170216647).

12200211001 is a wasteful number, since it uses less digits than its factorization.

12200211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12200211001 its reverse (10011200221), we get a palindrome (22211411222).

The spelling of 12200211001 in words is "twelve billion, two hundred million, two hundred eleven thousand, one".

Divisors: 1 11 281 1613 2447 3091 17743 26917 453253 687607 3947011 4985783 7563677 43417121 1109110091 12200211001