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122120221002112 = 274361673359761
BaseRepresentation
bin11011110001000101010100…
…011001001000100110000000
3121000101120122011122120022101
4123301011110121020212000
5112001304203034031422
61111421131031120144
734502615630303524
oct3361052431104600
9530346564576271
10122120221002112
1135a029930a7293
1211843872b13054
13531ab6c8a6c88
142222916353d84
15e1b961be0c27
hex6f1154648980

122120221002112 has 64 divisors (see below), whose sum is σ = 248948929017360. Its totient is φ = 59638975119360.

The previous prime is 122120221002083. The next prime is 122120221002137. The reversal of 122120221002112 is 211200122021221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 122120221002112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339268312 + ... + 339628072.

Almost surely, 2122120221002112 is an apocalyptic number.

It is an amenable number.

122120221002112 is an abundant number, since it is smaller than the sum of its proper divisors (126828708015248).

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

122120221002112 is an equidigital number, since it uses as much as digits as its factorization.

122120221002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421491 (or 421479 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122120221002112 its reverse (211200122021221), we get a palindrome (333320343023333).

The spelling of 122120221002112 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred twenty-one million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 2752 5504 61673 123346 246692 359761 493384 719522 986768 1439044 1973536 2651939 2878088 3947072 5303878 5756176 7894144 10607756 11512352 15469723 21215512 23024704 30939446 42431024 46049408 61878892 84862048 123757784 169724096 247515568 339448192 495031136 990062272 1980124544 22187540153 44375080306 88750160612 177500321224 355000642448 710001284896 954064226579 1420002569792 1908128453158 2840005139584 3816256906316 7632513812632 15265027625264 30530055250528 61060110501056 122120221002112