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122091101004 = 223127479167249
BaseRepresentation
bin111000110110100110…
…0100101101101001100
3102200010201221112210210
41301231030211231030
54000020310213004
6132030552002420
711551350143535
oct1615514455514
9380121845723
10122091101004
1147862275274
121b7b4090410
13b6894aa842
145ca2d5768c
153298861089
hex1c6d325b4c

122091101004 has 48 divisors (see below), whose sum is σ = 287723520000. Its totient is φ = 40292050176.

The previous prime is 122091100991. The next prime is 122091101009. The reversal of 122091101004 is 400101190221.

It is a happy number.

122091101004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (122091101009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 646372 + ... + 813620.

It is an arithmetic number, because the mean of its divisors is an integer number (5994240000).

Almost surely, 2122091101004 is an apocalyptic number.

It is an amenable number.

122091101004 is an abundant number, since it is smaller than the sum of its proper divisors (165632418996).

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

122091101004 is a wasteful number, since it uses less digits than its factorization.

122091101004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167862 (or 167860 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 122091101004 its reverse (400101190221), we get a palindrome (522192291225).

The spelling of 122091101004 in words is "one hundred twenty-two billion, ninety-one million, one hundred one thousand, four".

Divisors: 1 2 3 4 6 12 127 254 381 479 508 762 958 1437 1524 1916 2874 5748 60833 121666 167249 182499 243332 334498 364998 501747 668996 729996 1003494 2006988 21240623 42481246 63721869 80112271 84962492 127443738 160224542 240336813 254887476 320449084 480673626 961347252 10174258417 20348516834 30522775251 40697033668 61045550502 122091101004