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122340012414 = 23376110784431
BaseRepresentation
bin111000111110000001…
…0000111000101111110
3102200210002022120001220
41301330002013011332
54001023020344124
6132111403014210
711560461643014
oct1617402070576
9380702276056
10122340012414
114797a825084
121b86350a366
13b6c8c2b8b9
145cc802c8b4
1532b062c879
hex1c7c08717e

122340012414 has 64 divisors (see below), whose sum is σ = 257802642432. Its totient is φ = 38662185600.

The previous prime is 122340012359. The next prime is 122340012427. The reversal of 122340012414 is 414210043221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1406779 + ... + 1491209.

It is an arithmetic number, because the mean of its divisors is an integer number (4028166288).

Almost surely, 2122340012414 is an apocalyptic number.

122340012414 is an abundant number, since it is smaller than the sum of its proper divisors (135462630018).

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

122340012414 is a wasteful number, since it uses less digits than its factorization.

122340012414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84641.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 122340012414 its reverse (414210043221), we get a palindrome (536550055635).

The spelling of 122340012414 in words is "one hundred twenty-two billion, three hundred forty million, twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 37 61 74 107 111 122 183 214 222 321 366 642 2257 3959 4514 6527 6771 7918 11877 13054 13542 19581 23754 39162 84431 168862 241499 253293 482998 506586 724497 1448994 3123947 5150291 6247894 9034117 9371841 10300582 15450873 18068234 18743682 27102351 30901746 54204702 190560767 334262329 381121534 551081137 571682301 668524658 1002786987 1102162274 1143364602 1653243411 2005573974 3306486822 20390002069 40780004138 61170006207 122340012414