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12103121121201 = 3211122253748699
BaseRepresentation
bin1011000000011111101000…
…1111000010111110110001
31120212001021022122211102200
42300013322033002332301
53041244143001334301
641424032545333413
72356264424044515
oct260077217027661
946761238584380
1012103121121201
1139469a5388510
1214357ba937269
1369a41ca10bb6
142dbb19374145
1515ec6b176c86
hexb01fa3c2fb1

12103121121201 has 12 divisors (see below), whose sum is σ = 19071584797200. Its totient is φ = 7335224921880.

The previous prime is 12103121121151. The next prime is 12103121121227. The reversal of 12103121121201 is 10212112130121.

It is a happy number.

12103121121201 is a `hidden beast` number, since 1 + 210 + 31 + 211 + 212 + 0 + 1 = 666.

It is not a de Polignac number, because 12103121121201 - 213 = 12103121113009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12103121121241) 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 11 ways as a sum of consecutive naturals, for example, 61126874251 + ... + 61126874448.

It is an arithmetic number, because the mean of its divisors is an integer number (1589298733100).

Almost surely, 212103121121201 is an apocalyptic number.

12103121121201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12103121121201 is a deficient number, since it is larger than the sum of its proper divisors (6968463675999).

12103121121201 is a wasteful number, since it uses less digits than its factorization.

12103121121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122253748716 (or 122253748713 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12103121121201 its reverse (10212112130121), we get a palindrome (22315233251322).

The spelling of 12103121121201 in words is "twelve trillion, one hundred three billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 11 33 99 122253748699 366761246097 1100283738291 1344791235689 4034373707067 12103121121201