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122221022144 = 2613197731593
BaseRepresentation
bin111000111010011110…
…0001100101111000000
3102200110210102020002212
41301310330030233000
54000302040202034
6132051512401252
711554515355424
oct1616474145700
9380423366085
10122221022144
1147919642a11
121b82b6a6228
13b6aa399460
145cb62d6b84
1532a4e762ce
hex1c74f0cbc0

122221022144 has 56 divisors (see below), whose sum is σ = 274935482640. Its totient is φ = 53440763904.

The previous prime is 122221022117. The next prime is 122221022149. The reversal of 122221022144 is 441220122221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221022149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3849989 + ... + 3881604.

It is an arithmetic number, because the mean of its divisors is an integer number (4909562190).

Almost surely, 2122221022144 is an apocalyptic number.

It is an amenable number.

122221022144 is an abundant number, since it is smaller than the sum of its proper divisors (152714460496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122221022144 is a wasteful number, since it uses less digits than its factorization.

122221022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7731637 (or 7731627 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 122221022144 its reverse (441220122221), we get a palindrome (563441144365).

The spelling of 122221022144 in words is "one hundred twenty-two billion, two hundred twenty-one million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 988 1216 1976 3952 7904 15808 7731593 15463186 30926372 61852744 100510709 123705488 146900267 201021418 247410976 293800534 402042836 494821952 587601068 804085672 1175202136 1608171344 1909703471 2350404272 3216342688 3819406942 4700808544 6432685376 7638813884 9401617088 15277627768 30555255536 61110511072 122221022144