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12223021300 = 22527149117191
BaseRepresentation
bin10110110001000110…
…01000000011110100
31011112211202211001121
423120203020003310
5200013043140200
65340513433324
7611616652420
oct133043100364
934484684047
1012223021300
1152026388a6
12245156b844
1311ca41c4a9
1483d4b3b80
154b8125e1a
hex2d88c80f4

12223021300 has 72 divisors (see below), whose sum is σ = 30516796800. Its totient is φ = 4162588800.

The previous prime is 12223021277. The next prime is 12223021303. The reversal of 12223021300 is 312032221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223021303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45705 + ... + 162895.

It is an arithmetic number, because the mean of its divisors is an integer number (423844400).

Almost surely, 212223021300 is an apocalyptic number.

12223021300 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 12223021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15258398400).

12223021300 is an abundant number, since it is smaller than the sum of its proper divisors (18293775500).

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

12223021300 is a wasteful number, since it uses less digits than its factorization.

12223021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117361 (or 117354 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12223021300 its reverse (312032221), we get a palindrome (12535053521).

The spelling of 12223021300 in words is "twelve billion, two hundred twenty-three million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 149 175 298 350 596 700 745 1043 1490 2086 2980 3725 4172 5215 7450 10430 14900 20860 26075 52150 104300 117191 234382 468764 585955 820337 1171910 1640674 2343820 2929775 3281348 4101685 5859550 8203370 11719100 16406740 17461459 20508425 34922918 41016850 69845836 82033700 87307295 122230213 174614590 244460426 349229180 436536475 488920852 611151065 873072950 1222302130 1746145900 2444604260 3055755325 6111510650 12223021300