Search a number
-
+
122100121219 is a prime number
BaseRepresentation
bin111000110110110111…
…0111111111010000011
3102200011100220211012211
41301231232333322003
54000030112334334
6132031513202551
711551516622536
oct1615556777203
9380140824184
10122100121219
114786737629a
121b7b7100457
13b68b31844b
145ca4224a1d
153299543a64
hex1c6dbbfe83

122100121219 has 2 divisors, whose sum is σ = 122100121220. Its totient is φ = 122100121218.

The previous prime is 122100121189. The next prime is 122100121237. The reversal of 122100121219 is 912121001221.

It is a strong prime.

It is an emirp because it is prime and its reverse (912121001221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122100121219 - 213 = 122100113027 is a prime.

It is a super-2 number, since 2×1221001212192 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122100121219.

It is not a weakly prime, because it can be changed into another prime (122100122219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050060609 + 61050060610.

It is an arithmetic number, because the mean of its divisors is an integer number (61050060610).

Almost surely, 2122100121219 is an apocalyptic number.

122100121219 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100121219 is an equidigital number, since it uses as much as digits as its factorization.

122100121219 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 122100121219 in words is "one hundred twenty-two billion, one hundred million, one hundred twenty-one thousand, two hundred nineteen".