Search a number
-
+
122012413403001 = 3111913071003914831
BaseRepresentation
bin11011101111100000111010…
…100011110001111101111001
3121000000021100212122002120020
4123233200322203301331321
5111443022410312344001
61111255421240121053
734462051226652432
oct3357407243617571
9530007325562506
10122012413403001
11359711a0566440
12118269a6466189
13531094b67a904
14221b60a3d0489
15e18c52313736
hex6ef83a8f1f79

122012413403001 has 64 divisors (see below), whose sum is σ = 186987427430400. Its totient is φ = 69989681966400.

The previous prime is 122012413402991. The next prime is 122012413403033. The reversal of 122012413403001 is 100304314210221.

It is not a de Polignac number, because 122012413403001 - 26 = 122012413402937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122012413403051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8226842656 + ... + 8226857486.

It is an arithmetic number, because the mean of its divisors is an integer number (2921678553600).

Almost surely, 2122012413403001 is an apocalyptic number.

122012413403001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122012413403001 is a deficient number, since it is larger than the sum of its proper divisors (64975014027399).

122012413403001 is a wasteful number, since it uses less digits than its factorization.

122012413403001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26210.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 122012413403001 its reverse (100304314210221), we get a palindrome (222316727613222).

The spelling of 122012413403001 in words is "one hundred twenty-two trillion, twelve billion, four hundred thirteen million, four hundred three thousand, one".

Divisors: 1 3 11 19 33 57 209 627 1307 3921 10039 14377 14831 24833 30117 43131 44493 74499 110429 163141 190741 273163 281789 331287 489423 572223 819489 845367 2098151 3099679 6294453 9299037 13120973 19384117 39362919 58152351 144330703 148888409 213225287 249298487 368298223 432992109 446665227 639675861 747895461 1104894669 1637772499 2742283357 2828879771 4051280453 4913317497 8226850071 8486639313 12153841359 31117677481 93353032443 194597150563 583791451689 2140568656193 3697345860697 6421705968579 11092037582091 40670804467667 122012413403001