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1022112212000 = 25531123229823
BaseRepresentation
bin11101101111110101010…
…00101010010000100000
310121201020202110011212212
432313322220222100200
5113221241211241000
62101315111541252
7133562615311265
oct16677250522040
93551222404785
101022112212000
11364525774070
1214611338a828
1375500448959
143768307726c
151b8c2b5cc35
hexedfaa2a420

1022112212000 has 96 divisors (see below), whose sum is σ = 2739632523264. Its totient is φ = 371677152000.

The previous prime is 1022112211999. The next prime is 1022112212029. The reversal of 1022112212000 is 2122112201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11570912 + ... + 11658911.

It is an arithmetic number, because the mean of its divisors is an integer number (28537838784).

Almost surely, 21022112212000 is an apocalyptic number.

1022112212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022112212000 is an abundant number, since it is smaller than the sum of its proper divisors (1717520311264).

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

1022112212000 is a wasteful number, since it uses less digits than its factorization.

1022112212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23229859 (or 23229841 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1022112212000 its reverse (2122112201), we get a palindrome (1024234324201).

It can be divided in two parts, 10221 and 12212000, that added together give a palindrome (12222221).

The spelling of 1022112212000 in words is "one trillion, twenty-two billion, one hundred twelve million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 23229823 46459646 92919292 116149115 185838584 232298230 255528053 371677168 464596460 511056106 580745575 743354336 929192920 1022112212 1161491150 1277640265 1858385840 2044224424 2322982300 2555280530 2903727875 3716771680 4088448848 4645964600 5110561060 5807455750 6388201325 8176897696 9291929200 10221122120 11614911500 12776402650 18583858400 20442244240 23229823000 25552805300 31941006625 40884488480 46459646000 51105610600 63882013250 92919292000 102211221200 127764026500 204422442400 255528053000 511056106000 1022112212000