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12300222022220 = 225114391181107839
BaseRepresentation
bin1011001011111101111001…
…0111010100001001001100
31121112220000121210000202202
42302333132113110021030
53103011323314202340
642054351033541032
72406442653053066
oct262773627241114
947486017700682
1012300222022220
113a12549735740
121467a47574778
136b2ba1516492
143074963d6736
15164e54d38c15
hexb2fde5d424c

12300222022220 has 96 divisors (see below), whose sum is σ = 28267055308800. Its totient is φ = 4458799353600.

The previous prime is 12300222022219. The next prime is 12300222022279. The reversal of 12300222022220 is 2222022200321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12300222022192 and 12300222022201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114007061 + ... + 114114899.

It is an arithmetic number, because the mean of its divisors is an integer number (294448492800).

Almost surely, 212300222022220 is an apocalyptic number.

12300222022220 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 12300222022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14133527654400).

12300222022220 is an abundant number, since it is smaller than the sum of its proper divisors (15966833286580).

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

12300222022220 is a wasteful number, since it uses less digits than its factorization.

12300222022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109479 (or 109477 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12300222022220 its reverse (2222022200321), we get a palindrome (14522244222541).

The spelling of 12300222022220 in words is "twelve trillion, three hundred billion, two hundred twenty-two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 439 878 1181 1756 2195 2362 4390 4724 4829 5905 8780 9658 11810 12991 19316 23620 24145 25982 48290 51964 64955 96580 107839 129910 215678 259820 431356 518459 539195 1036918 1078390 1186229 2073836 2156780 2372458 2592295 4744916 5184590 5703049 5931145 10369180 11406098 11862290 22812196 23724580 28515245 47341321 57030490 94682642 114060980 127357859 189365284 236706605 254715718 473413210 509431436 520754531 636789295 946826420 1041509062 1273578590 1400936449 2083018124 2547157180 2603772655 2801872898 5207545310 5603745796 7004682245 10415090620 14009364490 28018728980 55910100101 111820200202 223640400404 279550500505 559101001010 615011101111 1118202002020 1230022202222 2460044404444 3075055505555 6150111011110 12300222022220