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122320132210120 = 23513235231023481
BaseRepresentation
bin11011110011111111100000…
…000001110111110111001000
3121001002200122022212011002111
4123303333200001313313020
5112013043112321210440
61112053032030112104
734523223622445665
oct3363774001676710
9531080568764074
10122320132210120
1135a7a749831779
121187656494b634
13533397b6a7cc0
14222c47c720a6c
15e21c624764ea
hex6f3fe0077dc8

122320132210120 has 32 divisors (see below), whose sum is σ = 296391089587320. Its totient is φ = 45164356508160.

The previous prime is 122320132210117. The next prime is 122320132210123. The reversal of 122320132210120 is 21012231023221.

122320132210120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (122320132210117) and next prime (122320132210123).

It can be written as a sum of positive squares in 4 ways, for example, as 57885894125284 + 64434238084836 = 7608278^2 + 8027094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122320132210091 and 122320132210100.

It is not an unprimeable number, because it can be changed into a prime (122320132210123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117615511221 + ... + 117615512260.

Almost surely, 2122320132210120 is an apocalyptic number.

122320132210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122320132210120 is an abundant number, since it is smaller than the sum of its proper divisors (174070957377200).

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

122320132210120 is a wasteful number, since it uses less digits than its factorization.

122320132210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235231023505 (or 235231023501 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 122320132210120 its reverse (21012231023221), we get a palindrome (143332363233341).

The spelling of 122320132210120 in words is "one hundred twenty-two trillion, three hundred twenty billion, one hundred thirty-two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 235231023481 470462046962 940924093924 1176155117405 1881848187848 2352310234810 3058003305253 4704620469620 6116006610506 9409240939240 12232013221012 15290016526265 24464026442024 30580033052530 61160066105060 122320132210120