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122133134321 = 11127157556849
BaseRepresentation
bin111000110111110110…
…0111011101111110001
3102200020200001001200022
41301233230323233301
54000112040244241
6132035052533225
711552400340622
oct1615754735761
9380220031608
10122133134321
1147883a74550
121b806181215
13b695106a23
145ca8779a49
15329c3b554b
hex1c6fb3bbf1

122133134321 has 16 divisors (see below), whose sum is σ = 135140812800. Its totient is φ = 109454042880.

The previous prime is 122133134317. The next prime is 122133134341. The reversal of 122133134321 is 123431331221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122133134321 - 22 = 122133134317 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122133134341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59096 + ... + 497753.

It is an arithmetic number, because the mean of its divisors is an integer number (8446300800).

Almost surely, 2122133134321 is an apocalyptic number.

122133134321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122133134321 is a deficient number, since it is larger than the sum of its proper divisors (13007678479).

122133134321 is a wasteful number, since it uses less digits than its factorization.

122133134321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557144.

The product of its digits is 2592, while the sum is 26.

Adding to 122133134321 its reverse (123431331221), we get a palindrome (245564465542).

The spelling of 122133134321 in words is "one hundred twenty-two billion, one hundred thirty-three million, one hundred thirty-four thousand, three hundred twenty-one".

Divisors: 1 11 127 157 1397 1727 19939 219329 556849 6125339 70719823 87425293 777918053 961678223 11103012211 122133134321