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12001112221122 = 2323856917286641
BaseRepresentation
bin1010111010100011101000…
…0001111110010111000010
31120111021222010220210100100
42232220322001332113002
53033111234212033442
641305122420503230
72346023514515463
oct256507201762702
946437863823310
1012001112221122
113907708a87012
121419a9024ab16
13690913c5c0ab
142d6bdd5bcd6a
1515c29a8bc84c
hexaea3a07e5c2

12001112221122 has 24 divisors (see below), whose sum is σ = 26003085495660. Its totient is φ = 4000266789120.

The previous prime is 12001112221057. The next prime is 12001112221141. The reversal of 12001112221122 is 22112221110021.

12001112221122 is digitally balanced in base 2, 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 2 ways, for example, as 11761806343401 + 239305877721 = 3429549^2 + 489189^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12001112221095 and 12001112221104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7949079 + ... + 9337562.

Almost surely, 212001112221122 is an apocalyptic number.

12001112221122 is an abundant number, since it is smaller than the sum of its proper divisors (14001973274538).

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

12001112221122 is a wasteful number, since it uses less digits than its factorization.

12001112221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17325218 (or 17325215 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12001112221122 its reverse (22112221110021), we get a palindrome (34113333331143).

The spelling of 12001112221122 in words is "twelve trillion, one billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 38569 77138 115707 231414 347121 694242 17286641 34573282 51859923 103719846 155579769 311159538 666728456729 1333456913458 2000185370187 4000370740374 6000556110561 12001112221122