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12223012231400 = 2352331190796821
BaseRepresentation
bin1011000111011110010001…
…0011010101100011101000
31121021111201201221021012112
42301313210103111203220
53100230212112401100
641555101352101452
72401040431501115
oct261674423254350
947244651837175
1012223012231400
11399282882a063
121454a9a094888
136a8818491319
1430385005390c
15162e367bdb35
hexb1de44d58e8

12223012231400 has 96 divisors (see below), whose sum is σ = 28519601726880. Its totient is φ = 4871827488000.

The previous prime is 12223012231343. The next prime is 12223012231403. The reversal of 12223012231400 is 413221032221.

12223012231400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12223012231403) 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, 126194990 + ... + 126291810.

It is an arithmetic number, because the mean of its divisors is an integer number (297079184655).

Almost surely, 212223012231400 is an apocalyptic number.

12223012231400 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 12223012231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14259800863440).

12223012231400 is an abundant number, since it is smaller than the sum of its proper divisors (16296589495480).

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

12223012231400 is a wasteful number, since it uses less digits than its factorization.

12223012231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99075 (or 99066 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12223012231400 its reverse (413221032221), we get a palindrome (12636233263621).

The spelling of 12223012231400 in words is "twelve trillion, two hundred twenty-three billion, twelve million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 331 662 1324 1655 1907 2648 3310 3814 6620 7628 8275 9535 13240 15256 16550 19070 33100 38140 47675 66200 76280 95350 96821 190700 193642 381400 387284 484105 631217 774568 968210 1262434 1936420 2420525 2524868 3156085 3872840 4841050 5049736 6312170 9682100 12624340 15780425 19364200 25248680 31560850 32047751 63121700 64095502 126243400 128191004 160238755 184637647 256382008 320477510 369275294 640955020 738550588 801193775 923188235 1281910040 1477101176 1602387550 1846376470 3204775100 3692752940 4615941175 6409550200 7385505880 9231882350 18463764700 36927529400 61115061157 122230122314 244460244628 305575305785 488920489256 611150611570 1222301223140 1527876528925 2444602446280 3055753057850 6111506115700 12223012231400