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12223402400 = 2552118915607
BaseRepresentation
bin10110110001001001…
…00101000110100000
31011112212111011211102
423120210211012200
5200013142334100
65340525533532
7611623130456
oct133044450640
934485434742
1012223402400
115202879160
1224517142a8
1311ca523ab1
1483d5729d6
154b819dcd5
hex2d89251a0

12223402400 has 144 divisors (see below), whose sum is σ = 32921017920. Its totient is φ = 4394649600.

The previous prime is 12223402381. The next prime is 12223402469. The reversal of 12223402400 is 420432221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 775397 + ... + 791003.

It is an arithmetic number, because the mean of its divisors is an integer number (228618180).

Almost surely, 212223402400 is an apocalyptic number.

12223402400 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 12223402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16460508960).

12223402400 is an abundant number, since it is smaller than the sum of its proper divisors (20697615520).

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

12223402400 is a wasteful number, since it uses less digits than its factorization.

12223402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15727 (or 15714 counting only the distinct ones).

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

Adding to 12223402400 its reverse (420432221), we get a palindrome (12643834621).

The spelling of 12223402400 in words is "twelve billion, two hundred twenty-three million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 89 100 110 160 176 178 200 220 275 352 356 400 440 445 550 712 800 880 890 979 1100 1424 1760 1780 1958 2200 2225 2848 3560 3916 4400 4450 4895 7120 7832 8800 8900 9790 14240 15607 15664 17800 19580 24475 31214 31328 35600 39160 48950 62428 71200 78035 78320 97900 124856 156070 156640 171677 195800 249712 312140 343354 390175 391600 499424 624280 686708 780350 783200 858385 1248560 1373416 1389023 1560700 1716770 2497120 2746832 2778046 3121400 3433540 4291925 5493664 5556092 6242800 6867080 6945115 8583850 11112184 12485600 13734160 13890230 15279253 17167700 22224368 27468320 27780460 30558506 34335400 34725575 44448736 55560920 61117012 68670800 69451150 76396265 111121840 122234024 137341600 138902300 152792530 222243680 244468048 277804600 305585060 381981325 488936096 555609200 611170120 763962650 1111218400 1222340240 1527925300 2444680480 3055850600 6111701200 12223402400