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122000102202112 = 284162031873849
BaseRepresentation
bin11011101111010101011100…
…110000010001101100000000
3120222222002120212221021211221
4123233111130300101230000
5111442322202130431422
61111250023452244424
734461134156325451
oct3357253460215400
9528862525837757
10122000102202112
1135966a5317aa52
121182452b470714
13530c738bc5c64
14221ab9d325128
15e187815c03c7
hex6ef55cc11b00

122000102202112 has 72 divisors (see below), whose sum is σ = 249503592214800. Its totient is φ = 59502619115520.

The previous prime is 122000102202073. The next prime is 122000102202149. The reversal of 122000102202112 is 211202201000221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 64169764 + ... + 66043612.

It is an arithmetic number, because the mean of its divisors is an integer number (3465327669650).

Almost surely, 2122000102202112 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 122000102202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124751796107400).

122000102202112 is an abundant number, since it is smaller than the sum of its proper divisors (127503490012688).

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

122000102202112 is an equidigital number, since it uses as much as digits as its factorization.

122000102202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880109 (or 1880095 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122000102202112 its reverse (211202201000221), we get a palindrome (333202303202333).

The spelling of 122000102202112 in words is "one hundred twenty-two trillion, one hundred two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2624 5248 6203 10496 12406 24812 49624 99248 198496 254323 396992 508646 793984 1017292 1587968 1873849 2034584 3747698 4069168 7495396 8138336 14990792 16276672 29981584 32553344 59963168 65106688 76827809 119926336 153655618 239852672 307311236 479705344 614622472 1229244944 2458489888 4916979776 9833959552 11623485347 19667919104 23246970694 46493941388 92987882776 185975765552 371951531104 476562899227 743903062208 953125798454 1487806124416 1906251596908 2975612248832 3812503193816 7625006387632 15250012775264 30500025550528 61000051101056 122000102202112