Search a number
-
+
12122110021033 is a prime number
BaseRepresentation
bin1011000001100110011000…
…0011111100110110101001
31120220212021200121220000001
42300121212003330312221
53042102040131133113
641440453115343001
72360536121036515
oct260314603746651
946825250556001
1012122110021033
113953a5a0a1a61
12143941a151a61
1369c157a930bc
142dc9db25d145
151604cd26c7dd
hexb06660fcda9

12122110021033 has 2 divisors, whose sum is σ = 12122110021034. Its totient is φ = 12122110021032.

The previous prime is 12122110020973. The next prime is 12122110021129. The reversal of 12122110021033 is 33012001122121.

12122110021033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12096957012624 + 25153008409 = 3478068^2 + 158597^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122110021033 - 225 = 12122076466601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12122110021033.

It is not a weakly prime, because it can be changed into another prime (12122110021633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061055010516 + 6061055010517.

It is an arithmetic number, because the mean of its divisors is an integer number (6061055010517).

Almost surely, 212122110021033 is an apocalyptic number.

It is an amenable number.

12122110021033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122110021033 is an equidigital number, since it uses as much as digits as its factorization.

12122110021033 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 19.

Adding to 12122110021033 its reverse (33012001122121), we get a palindrome (45134111143154).

The spelling of 12122110021033 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, twenty-one thousand, thirty-three".