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122116722 = 23721389359
BaseRepresentation
bin1110100011101…
…01101001110010
322111210011122120
413101311221302
5222230213342
620041215110
73011655300
oct721655162
9274704576
10122116722
1162a28112
1234a91496
131c3b8520
141230b270
15aac2aec
hex7475a72

122116722 has 96 divisors (see below), whose sum is σ = 310262400. Its totient is φ = 31756032.

The previous prime is 122116703. The next prime is 122116747. The reversal of 122116722 is 227611221.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122116692 and 122116701.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339979 + ... + 340337.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 2122116722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122116722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

122116722 is an abundant number, since it is smaller than the sum of its proper divisors (188145678).

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

122116722 is a wasteful number, since it uses less digits than its factorization.

122116722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 122116722 is about 11050.6435106739. The cubic root of 122116722 is about 496.1256862589.

Adding to 122116722 its reverse (227611221), we get a palindrome (349727943).

The spelling of 122116722 in words is "one hundred twenty-two million, one hundred sixteen thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 89 91 98 147 178 182 267 273 294 359 534 546 623 637 718 1077 1157 1246 1274 1869 1911 2154 2314 2513 3471 3738 3822 4361 4667 5026 6942 7539 8099 8722 9334 13083 14001 15078 16198 17591 24297 26166 28002 31951 32669 35182 48594 52773 56693 63902 65338 95853 98007 105546 113386 170079 191706 196014 223657 228683 340158 415363 447314 457366 670971 686049 830726 1246089 1341942 1372098 1565599 2492178 2907541 3131198 4696797 5815082 8722623 9393594 17445246 20352787 40705574 61058361 122116722