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121112202193 is a prime number
BaseRepresentation
bin111000011001011011…
…0011000101111010001
3102120121111222100002021
41300302312120233101
53441014210432233
6131345502451441
711515162506253
oct1606266305721
9376544870067
10121112202193
11473aa754094
121b580293b81
13b56174b088
145c0cd3dcd3
15323c94be2d
hex1c32d98bd1

121112202193 has 2 divisors, whose sum is σ = 121112202194. Its totient is φ = 121112202192.

The previous prime is 121112202187. The next prime is 121112202221. The reversal of 121112202193 is 391202211121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121109568064 + 2634129 = 348008^2 + 1623^2 .

It is a cyclic number.

It is not a de Polignac number, because 121112202193 - 213 = 121112194001 is a prime.

It is a super-2 number, since 2×1211122021932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (121112202293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60556101096 + 60556101097.

It is an arithmetic number, because the mean of its divisors is an integer number (60556101097).

Almost surely, 2121112202193 is an apocalyptic number.

It is an amenable number.

121112202193 is a deficient number, since it is larger than the sum of its proper divisors (1).

121112202193 is an equidigital number, since it uses as much as digits as its factorization.

121112202193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 121112202193 in words is "one hundred twenty-one billion, one hundred twelve million, two hundred two thousand, one hundred ninety-three".