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12215442400 = 255272181329
BaseRepresentation
bin10110110000001100…
…01101101111100000
31011112022111202202121
423120012031233200
5200004123124100
65340043154024
7611465355460
oct133006155740
934468452677
1012215442400
1151a9331747
12244ab15914
1311c8997935
1483c49dba0
154b762a51a
hex2d818dbe0

12215442400 has 72 divisors (see below), whose sum is σ = 34081099920. Its totient is φ = 4188149760.

The previous prime is 12215442397. The next prime is 12215442413. The reversal of 12215442400 is 424451221.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1085065 + ... + 1096264.

It is an arithmetic number, because the mean of its divisors is an integer number (473348610).

Almost surely, 212215442400 is an apocalyptic number.

12215442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12215442400 is an abundant number, since it is smaller than the sum of its proper divisors (21865657520).

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

12215442400 is a wasteful number, since it uses less digits than its factorization.

12215442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181356 (or 2181343 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 12215442400 its reverse (424451221), we get a palindrome (12639893621).

The spelling of 12215442400 in words is "twelve billion, two hundred fifteen million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 2181329 4362658 8725316 10906645 15269303 17450632 21813290 30538606 34901264 43626580 54533225 61077212 69802528 76346515 87253160 109066450 122154424 152693030 174506320 218132900 244308848 305386060 349012640 381732575 436265800 488617696 610772120 763465150 872531600 1221544240 1526930300 1745063200 2443088480 3053860600 6107721200 12215442400