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122112001153 is a prime number
BaseRepresentation
bin111000110111001110…
…0010100010010000001
3102200012012021101102101
41301232130110102001
54000041133014103
6132033015550401
711552022612112
oct1615634242201
9380165241371
10122112001153
114787304a91a
121b7bb08b401
13b6909178ac
145ca5a38209
15329a5dda1d
hex1c6e714481

122112001153 has 2 divisors, whose sum is σ = 122112001154. Its totient is φ = 122112001152.

The previous prime is 122112001133. The next prime is 122112001163. The reversal of 122112001153 is 351100211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110398701169 + 11713299984 = 332263^2 + 108228^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112001153 - 29 = 122112000641 is a prime.

It is a super-2 number, since 2×1221120011532 (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 122112001153.

It is not a weakly prime, because it can be changed into another prime (122112001133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056000576 + 61056000577.

It is an arithmetic number, because the mean of its divisors is an integer number (61056000577).

Almost surely, 2122112001153 is an apocalyptic number.

It is an amenable number.

122112001153 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112001153 is an equidigital number, since it uses as much as digits as its factorization.

122112001153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 122112001153 its reverse (351100211221), we get a palindrome (473212212374).

The spelling of 122112001153 in words is "one hundred twenty-two billion, one hundred twelve million, one thousand, one hundred fifty-three".