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1222001201000 = 23532361786111
BaseRepresentation
bin10001110010000100111…
…100101000111101101000
311022211012100211220220202
4101302010330220331220
5130010124301413000
62333213554411332
7154200220553126
oct21620474507550
94284170756822
101222001201000
1143127a903038
121789b9890b48
138b30776a538
14432064dc916
1521bc14a4dd5
hex11c84f28f68

1222001201000 has 128 divisors (see below), whose sum is σ = 2988678850560. Its totient is φ = 466785088000.

The previous prime is 1222001200999. The next prime is 1222001201009. The reversal of 1222001201000 is 1021002221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1222001201009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14147945 + ... + 14234055.

It is an arithmetic number, because the mean of its divisors is an integer number (23349053520).

Almost surely, 21222001201000 is an apocalyptic number.

1222001201000 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 1222001201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494339425280).

1222001201000 is an abundant number, since it is smaller than the sum of its proper divisors (1766677649560).

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

1222001201000 is a wasteful number, since it uses less digits than its factorization.

1222001201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86772 (or 86758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1222001201000 its reverse (1021002221), we get a palindrome (1223022203221).

The spelling of 1222001201000 in words is "one trillion, two hundred twenty-two billion, one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 617 920 1000 1150 1234 2300 2468 2875 3085 4600 4936 5750 6170 11500 12340 14191 15425 23000 24680 28382 30850 56764 61700 70955 77125 86111 113528 123400 141910 154250 172222 283820 308500 344444 354775 430555 567640 617000 688888 709550 861110 1419100 1722220 1773875 1980553 2152775 2838200 3444440 3547750 3961106 4305550 7095500 7922212 8611100 9902765 10763875 14191000 15844424 17222200 19805530 21527750 39611060 43055500 49513825 53130487 79222120 86111000 99027650 106260974 198055300 212521948 247569125 265652435 396110600 425043896 495138250 531304870 990276500 1062609740 1222001201 1328262175 1980553000 2125219480 2444002402 2656524350 4888004804 5313048700 6110006005 6641310875 9776009608 10626097400 12220012010 13282621750 24440024020 26565243500 30550030025 48880048040 53130487000 61100060050 122200120100 152750150125 244400240200 305500300250 611000600500 1222001201000