Search a number
-
+
122012012001 = 311231391156501
BaseRepresentation
bin111000110100001111…
…0111000110111100001
3102122221020010102002110
41301220132320313201
53444340033341001
6132015044505533
711546366663415
oct1615036706741
9378836112073
10122012012001
1147821666560
121b7916ab2a9
13b675ca9009
145c9664ad45
15329193c3d6
hex1c687b8de1

122012012001 has 32 divisors (see below), whose sum is σ = 186520642560. Its totient is φ = 70222680000.

The previous prime is 122012011997. The next prime is 122012012081. The reversal of 122012012001 is 100210210221.

It is not a de Polignac number, because 122012012001 - 22 = 122012011997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122012012081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472750 + ... + 683751.

It is an arithmetic number, because the mean of its divisors is an integer number (5828770080).

Almost surely, 2122012012001 is an apocalyptic number.

122012012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122012012001 is a deficient number, since it is larger than the sum of its proper divisors (64508630559).

122012012001 is a wasteful number, since it uses less digits than its factorization.

122012012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156677.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122012012001 its reverse (100210210221), we get a palindrome (222222222222).

It can be divided in two parts, 12201 and 2012001, that added together give a palindrome (2024202).

The spelling of 122012012001 in words is "one hundred twenty-two billion, twelve million, twelve thousand, one".

Divisors: 1 3 11 23 33 69 139 253 417 759 1529 3197 4587 9591 35167 105501 1156501 3469503 12721511 26599523 38164533 79798569 160753639 292594753 482260917 877784259 1768290029 3697333697 5304870087 11092001091 40670670667 122012012001