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112122023120 = 24547167178561
BaseRepresentation
bin110100001101011111…
…1100100110011010000
3101201101222100220211222
41220122333210303100
53314111214214440
6123301432024212
711046326320532
oct1503277446320
9351358326758
10112122023120
1143606a60528
1219891532068
13a75b028ca3
1455d8d63852
152db35602b5
hex1a1afe4cd0

112122023120 has 80 divisors (see below), whose sum is σ = 267825858048. Its totient is φ = 43631493120.

The previous prime is 112122023119. The next prime is 112122023161. The reversal of 112122023120 is 21320221211.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 538640 + ... + 717200.

Almost surely, 2112122023120 is an apocalyptic number.

112122023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112122023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133912929024).

112122023120 is an abundant number, since it is smaller than the sum of its proper divisors (155703834928).

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

112122023120 is a wasteful number, since it uses less digits than its factorization.

112122023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178788 (or 178782 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 112122023120 its reverse (21320221211), we get a palindrome (133442244331).

The spelling of 112122023120 in words is "one hundred twelve billion, one hundred twenty-two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 167 188 235 334 376 470 668 752 835 940 1336 1670 1880 2672 3340 3760 6680 7849 13360 15698 31396 39245 62792 78490 125584 156980 178561 313960 357122 627920 714244 892805 1428488 1785610 2856976 3571220 7142440 8392367 14284880 16784734 29819687 33569468 41961835 59639374 67138936 83923670 119278748 134277872 149098435 167847340 238557496 298196870 335694680 477114992 596393740 671389360 1192787480 1401525289 2385574960 2803050578 5606101156 7007626445 11212202312 14015252890 22424404624 28030505780 56061011560 112122023120