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12220342400 = 27527545551
BaseRepresentation
bin10110110000110001…
…11010000010000000
31011112122201201022002
423120120322002000
5200011401424100
65340340203132
7611555124260
oct133030720200
934478651262
1012220342400
115201079132
1224506994a8
1311c99c2046
1483cdb77a0
154b7c972d5
hex2d863a080

12220342400 has 96 divisors (see below), whose sum is σ = 34500708480. Its totient is φ = 4189824000.

The previous prime is 12220342369. The next prime is 12220342411. The reversal of 12220342400 is 424302221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250376 + ... + 295175.

It is an arithmetic number, because the mean of its divisors is an integer number (359382380).

Almost surely, 212220342400 is an apocalyptic number.

12220342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220342400 is an abundant number, since it is smaller than the sum of its proper divisors (22280366080).

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

12220342400 is an equidigital number, since it uses as much as digits as its factorization.

12220342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545582 (or 545565 counting only the distinct ones).

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

Adding to 12220342400 its reverse (424302221), we get a palindrome (12644644621).

The spelling of 12220342400 in words is "twelve billion, two hundred twenty million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 1120 1400 1600 2240 2800 3200 4480 5600 11200 22400 545551 1091102 2182204 2727755 3818857 4364408 5455510 7637714 8728816 10911020 13638775 15275428 17457632 19094285 21822040 27277550 30550856 34915264 38188570 43644080 54555100 61101712 69830528 76377140 87288160 95471425 109110200 122203424 152754280 174576320 190942850 218220400 244406848 305508560 349152640 381885700 436440800 488813696 611017120 763771400 872881600 1222034240 1527542800 1745763200 2444068480 3055085600 6110171200 12220342400