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122089146368 = 2117211032
BaseRepresentation
bin111000110110100010…
…1001000100000000000
3102200010121021020112212
41301231011020200000
54000014310140433
6132030442041252
711551324423100
oct1615505104000
9380117236485
10122089146368
114786115a772
121b7b34a9228
13b688c74c57
145ca29a9200
1532985c6d48
hex1c6d148800

122089146368 has 108 divisors (see below), whose sum is σ = 284232479895. Its totient is φ = 52276482048.

The previous prime is 122089146359. The next prime is 122089146373. The reversal of 122089146368 is 863641980221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122089146368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 61044573184 + 61044573184 = 247072^2 + 247072^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247072.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110687705 + ... + 110688807.

Almost surely, 2122089146368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122089146368

122089146368 is an abundant number, since it is smaller than the sum of its proper divisors (162143333527).

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

122089146368 is an frugal number, since it uses more digits than its factorization.

122089146368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

Multiplying 122089146368 by its sum of digits (50), we get a square (6104457318400 = 24707202).

The spelling of 122089146368 in words is "one hundred twenty-two billion, eighty-nine million, one hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1103 1568 1792 2048 2206 3136 3584 4412 6272 7168 7721 8824 12544 14336 15442 17648 25088 30884 35296 50176 54047 61768 70592 100352 108094 123536 141184 216188 247072 282368 432376 494144 564736 864752 988288 1129472 1216609 1729504 1976576 2258944 2433218 3459008 3953152 4866436 6918016 7906304 8516263 9732872 13836032 15812608 17032526 19465744 27672064 34065052 38931488 55344128 59613841 68130104 77862976 110688256 119227682 136260208 155725952 238455364 272520416 311451904 476910728 545040832 622903808 953821456 1090081664 1245807616 1907642912 2180163328 2491615232 3815285824 4360326656 7630571648 8720653312 15261143296 17441306624 30522286592 61044573184 122089146368