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12300021033201 = 35117691598307
BaseRepresentation
bin1011001011111101001001…
…1000100110100011110001
31121112212111121120201200000
42302333102120212203301
53103010420341030301
642054315054020213
72406434662506216
oct262772230464361
947485447521600
1012300021033201
113a12456237710
1214679b01a7669
136b2b6b9a3c75
14307477837b0d
15164e42386786
hexb2fd26268f1

12300021033201 has 48 divisors (see below), whose sum is σ = 20102344674048. Its totient is φ = 7453576486800.

The previous prime is 12300021033169. The next prime is 12300021033229. The reversal of 12300021033201 is 10233012000321.

12300021033201 is a `hidden beast` number, since 12 + 300 + 0 + 21 + 0 + 332 + 0 + 1 = 666.

It is not a de Polignac number, because 12300021033201 - 25 = 12300021033169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12300021035201) 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 47 ways as a sum of consecutive naturals, for example, 20258890 + ... + 20857196.

It is an arithmetic number, because the mean of its divisors is an integer number (418798847376).

Almost surely, 212300021033201 is an apocalyptic number.

12300021033201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12300021033201 is a deficient number, since it is larger than the sum of its proper divisors (7802323640847).

12300021033201 is an equidigital number, since it uses as much as digits as its factorization.

12300021033201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606024 (or 606012 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12300021033201 its reverse (10233012000321), we get a palindrome (22533033033522).

The spelling of 12300021033201 in words is "twelve trillion, three hundred billion, twenty-one million, thirty-three thousand, two hundred one".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 7691 23073 69219 84601 207657 253803 598307 622971 761409 1794921 1868913 2284227 5384763 6581377 6852681 16154289 19744131 20558043 48462867 59232393 145388601 177697179 533091537 1599274611 4601579137 13804737411 41414212233 50617370507 124242636699 151852111521 372727910097 455556334563 1118183730291 1366669003689 4100007011067 12300021033201