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1220120211000 = 23353409994393
BaseRepresentation
bin10001110000010100110…
…101001110111000111000
311022122100021102201201110
4101300110311032320320
5124442301233223000
62332303202320320
7154102500450225
oct21602465167070
94278307381643
101220120211000
114304a5061449
121785739590a0
138b097b615c2
14430a878294c
1521b1129e850
hex11c14d4ee38

1220120211000 has 128 divisors (see below), whose sum is σ = 3816086414400. Its totient is φ = 324569548800.

The previous prime is 1220120210977. The next prime is 1220120211019. The reversal of 1220120211000 is 1120210221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 729804 + ... + 1724196.

Almost surely, 21220120211000 is an apocalyptic number.

1220120211000 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 1220120211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908043207200).

1220120211000 is an abundant number, since it is smaller than the sum of its proper divisors (2595966203400).

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

1220120211000 is a wasteful number, since it uses less digits than its factorization.

1220120211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994826 (or 994812 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1220120211000 its reverse (1120210221), we get a palindrome (1221240421221).

The spelling of 1220120211000 in words is "one trillion, two hundred twenty billion, one hundred twenty million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 409 500 600 750 818 1000 1227 1500 1636 2045 2454 3000 3272 4090 4908 6135 8180 9816 10225 12270 16360 20450 24540 30675 40900 49080 51125 61350 81800 102250 122700 153375 204500 245400 306750 409000 613500 994393 1227000 1988786 2983179 3977572 4971965 5966358 7955144 9943930 11932716 14915895 19887860 23865432 24859825 29831790 39775720 49719650 59663580 74579475 99439300 119327160 124299125 149158950 198878600 248598250 298317900 372897375 406706737 497196500 596635800 745794750 813413474 994393000 1220120211 1491589500 1626826948 2033533685 2440240422 2983179000 3253653896 4067067370 4880480844 6100601055 8134134740 9760961688 10167668425 12201202110 16268269480 20335336850 24402404220 30503005275 40670673700 48804808440 50838342125 61006010550 81341347400 101676684250 122012021100 152515026375 203353368500 244024042200 305030052750 406706737000 610060105500 1220120211000