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121123021312 = 294115973613
BaseRepresentation
bin111000011001101111…
…1101010001000000000
3102120122021100000010101
41300303133222020000
53441024443140222
6131350530412144
711515353460006
oct1606337521000
9376567300111
10121123021312
1147405873707
121b583a31054
13b563a68717
145c10558a76
15323d887927
hex1c337ea200

121123021312 has 80 divisors (see below), whose sum is σ = 248136040152. Its totient is φ = 59031060480.

The previous prime is 121123021309. The next prime is 121123021373. The reversal of 121123021312 is 213120321121.

It can be written as a sum of positive squares in 4 ways, for example, as 14596505856 + 106526515456 = 120816^2 + 326384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121123021312.

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, 33522418 + ... + 33526030.

Almost surely, 2121123021312 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 121123021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124068020076).

121123021312 is an abundant number, since it is smaller than the sum of its proper divisors (127013018840).

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

121123021312 is an equidigital number, since it uses as much as digits as its factorization.

121123021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 121123021312 its reverse (213120321121), we get a palindrome (334243342433).

The spelling of 121123021312 in words is "one hundred twenty-one billion, one hundred twenty-three million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1312 1597 2624 3194 3613 5248 6388 7226 10496 12776 14452 20992 25552 28904 51104 57808 65477 102208 115616 130954 148133 204416 231232 261908 296266 408832 462464 523816 592532 817664 924928 1047632 1185064 1849856 2095264 2370128 4190528 4740256 5769961 8381056 9480512 11539922 16762112 18961024 23079844 33524224 37922048 46159688 75844096 92319376 184638752 236568401 369277504 473136802 738555008 946273604 1477110016 1892547208 2954220032 3785094416 7570188832 15140377664 30280755328 60561510656 121123021312