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121220111220191 = 2998327479154747
BaseRepresentation
bin11011100011111111000001…
…101010110011110111011111
3120220012112021222021222120222
4123203333001222303313133
5111342032241433021231
61105451430022431555
734350602234350214
oct3343770152636737
9526175258258528
10121220111220191
1135696184644735
1211719329b925bb
135284013460b69
1421d1128551b0b
15e0332ec2b27b
hex6e3fc1ab3ddf

121220111220191 has 16 divisors (see below), whose sum is σ = 125533063180800. Its totient is φ = 116916032727648.

The previous prime is 121220111220157. The next prime is 121220111220193. The reversal of 121220111220191 is 191022111022121.

It is a cyclic number.

It is not a de Polignac number, because 121220111220191 - 210 = 121220111219167 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121220111220191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121220111220193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783266480 + ... + 783421226.

It is an arithmetic number, because the mean of its divisors is an integer number (7845816448800).

Almost surely, 2121220111220191 is an apocalyptic number.

121220111220191 is a deficient number, since it is larger than the sum of its proper divisors (4312951960609).

121220111220191 is a wasteful number, since it uses less digits than its factorization.

121220111220191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183238.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 121220111220191 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred eleven million, two hundred twenty thousand, one hundred ninety-one".

Divisors: 1 29 983 27479 28507 154747 796891 4487663 27011857 152116301 783343853 4252292813 4411372729 123316491577 4180003835179 121220111220191