Search a number
-
+
2001212221122 = 232977499152843
BaseRepresentation
bin11101000111110001100…
…010110010011011000010
321002022110220212001201200
4131013301202302123002
5230241440312033442
64131202203042030
7264403622133312
oct35076142623302
97068426761650
102001212221122
11701789144524
12283a21b10316
1311693774738a
146cc05881442
15370c962e34c
hex1d1f18b26c2

2001212221122 has 48 divisors (see below), whose sum is σ = 4381273260000. Its totient is φ = 660101366016.

The previous prime is 2001212221121. The next prime is 2001212221123. The reversal of 2001212221122 is 2211222121002.

It is a happy number.

2001212221122 is a `hidden beast` number, since 200 + 121 + 2 + 221 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (2001212221121) and next prime (2001212221123).

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 = 2001212221095 and 2001212221104.

It is not an unprimeable number, because it can be changed into a prime (2001212221121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13016833 + ... + 13169675.

It is an arithmetic number, because the mean of its divisors is an integer number (91276526250).

Almost surely, 22001212221122 is an apocalyptic number.

2001212221122 is an abundant number, since it is smaller than the sum of its proper divisors (2380061038878).

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

2001212221122 is a wasteful number, since it uses less digits than its factorization.

2001212221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160447 (or 160444 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2001212221122 its reverse (2211222121002), we get a palindrome (4212434342124).

The spelling of 2001212221122 in words is "two trillion, one billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 97 194 291 582 873 1746 7499 14998 22497 44994 67491 134982 152843 305686 458529 727403 917058 1375587 1454806 2182209 2751174 4364418 6546627 13093254 14825771 29651542 44477313 88954626 133431939 266863878 1146169657 2292339314 3438508971 6877017942 10315526913 20631053826 111178456729 222356913458 333535370187 667070740374 1000606110561 2001212221122