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122012144145 = 3252711380981
BaseRepresentation
bin111000110100001111…
…1011001001000010001
3102122221020101010100200
41301220133121020101
53444340102103040
6132015051405413
711546401053603
oct1615037311021
9378836333320
10122012144145
1147821746871
121b791753869
13b6760241c8
145c96683173
153291966630
hex1c687d9211

122012144145 has 12 divisors (see below), whose sum is σ = 211487716596. Its totient is φ = 65073143520.

The previous prime is 122012144101. The next prime is 122012144173. The reversal of 122012144145 is 541441210221.

122012144145 is a `hidden beast` number, since 1 + 220 + 1 + 21 + 4 + 414 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35228286864 + 86783857281 = 187692^2 + 294591^2 .

It is not a de Polignac number, because 122012144145 - 29 = 122012143633 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1355690446 + ... + 1355690535.

It is an arithmetic number, because the mean of its divisors is an integer number (17623976383).

Almost surely, 2122012144145 is an apocalyptic number.

122012144145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122012144145 is a deficient number, since it is larger than the sum of its proper divisors (89475572451).

122012144145 is a wasteful number, since it uses less digits than its factorization.

122012144145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711380992 (or 2711380989 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 122012144145 its reverse (541441210221), we get a palindrome (663453354366).

The spelling of 122012144145 in words is "one hundred twenty-two billion, twelve million, one hundred forty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 2711380981 8134142943 13556904905 24402428829 40670714715 122012144145