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121220111221001 = 13411637138930881
BaseRepresentation
bin11011100011111111000001…
…101010110100000100001001
3120220012112021222022000200222
4123203333001222310010021
5111342032241433033001
61105451430022435425
734350602234352452
oct3343770152640411
9526175258260628
10121220111221001
1135696184645301
1211719329b92b75
135284013461340
1421d1128552129
15e0332ec2b61b
hex6e3fc1ab4109

121220111221001 has 16 divisors (see below), whose sum is σ = 133810445413008. Its totient is φ = 109099641446400.

The previous prime is 121220111220983. The next prime is 121220111221007. The reversal of 121220111221001 is 100122111022121.

It can be written as a sum of positive squares in 8 ways, for example, as 35566492975225 + 85653618245776 = 5963765^2 + 9254924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121220111221001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121220111221007) 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, 68592920 + ... + 70337961.

It is an arithmetic number, because the mean of its divisors is an integer number (8363152838313).

Almost surely, 2121220111221001 is an apocalyptic number.

It is an amenable number.

121220111221001 is a deficient number, since it is larger than the sum of its proper divisors (12590334192007).

121220111221001 is a wasteful number, since it uses less digits than its factorization.

121220111221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138932572.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 121220111221001 its reverse (100122111022121), we get a palindrome (221342222243122).

The spelling of 121220111221001 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred eleven million, two hundred twenty-one thousand, one".

Divisors: 1 13 41 533 1637 21281 67117 872521 138930881 1806101453 5696166121 74050159573 227429852197 2956588078561 9324623940077 121220111221001