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112122020000 = 255417931319
BaseRepresentation
bin110100001101011111…
…1100100000010100000
3101201101222100202120102
41220122333210002200
53314111214120000
6123301432001532
711046326305454
oct1503277440240
9351358322512
10112122020000
1143606a59151
12198915302a8
13a75b027743
1455d8d62664
152db355e3d5
hex1a1afe40a0

112122020000 has 120 divisors (see below), whose sum is σ = 277386832800. Its totient is φ = 44596832000.

The previous prime is 112122019987. The next prime is 112122020009. The reversal of 112122020000 is 20221211.

It is a happy number.

112122020000 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 (112122020009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3564341 + ... + 3595659.

It is an arithmetic number, because the mean of its divisors is an integer number (2311556940).

Almost surely, 2112122020000 is an apocalyptic number.

112122020000 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 112122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138693416400).

112122020000 is an abundant number, since it is smaller than the sum of its proper divisors (165264812800).

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

112122020000 is an equidigital number, since it uses as much as digits as its factorization.

112122020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31528 (or 31505 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 112122020000 its reverse (20221211), we get a palindrome (112142241211).

The spelling of 112122020000 in words is "one hundred twelve billion, one hundred twenty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 179 200 250 358 400 500 625 716 800 895 1000 1250 1432 1790 2000 2500 2864 3580 4000 4475 5000 5728 7160 8950 10000 14320 17900 20000 22375 28640 31319 35800 44750 62638 71600 89500 111875 125276 143200 156595 179000 223750 250552 313190 358000 447500 501104 626380 716000 782975 895000 1002208 1252760 1565950 1790000 2505520 3131900 3580000 3914875 5011040 5606101 6263800 7829750 11212202 12527600 15659500 19574375 22424404 25055200 28030505 31319000 39148750 44848808 56061010 62638000 78297500 89697616 112122020 125276000 140152525 156595000 179395232 224244040 280305050 313190000 448488080 560610100 626380000 700762625 896976160 1121220200 1401525250 2242440400 2803050500 3503813125 4484880800 5606101000 7007626250 11212202000 14015252500 22424404000 28030505000 56061010000 112122020000