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1120220211222 = 232727744517211
BaseRepresentation
bin10000010011010010010…
…100111110100000010110
310222002111001221220222200
4100103102110332200112
5121323202333224342
62214342210505330
7143635046454450
oct20232224764026
93862431856880
101120220211222
113a20a0117a62
12161133595246
1381836c957b8
143c30cb132d0
151e215c1994c
hex104d253e816

1120220211222 has 96 divisors (see below), whose sum is σ = 2784904222464. Its totient is φ = 318791592000.

The previous prime is 1120220211203. The next prime is 1120220211223. The reversal of 1120220211222 is 2221120220211.

It is a happy number.

1120220211222 is a `hidden beast` number, since 1 + 12 + 0 + 220 + 211 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1120220211195 and 1120220211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120220211223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155345197 + ... + 155352407.

It is an arithmetic number, because the mean of its divisors is an integer number (29009418984).

Almost surely, 21120220211222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120220211222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392452111232).

1120220211222 is an abundant number, since it is smaller than the sum of its proper divisors (1664684011242).

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

1120220211222 is a wasteful number, since it uses less digits than its factorization.

1120220211222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11954 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1120220211222 its reverse (2221120220211), we get a palindrome (3341340431433).

It can be divided in two parts, 1120220211 and 222, that multiplied together give a palindrome (248688886842).

The spelling of 1120220211222 in words is "one trillion, one hundred twenty billion, two hundred twenty million, two hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 277 554 831 1662 1939 2493 3878 4451 4986 5817 7211 8902 11634 13353 14422 17451 21633 26706 31157 34902 40059 43266 50477 62314 64899 80118 93471 100954 129798 151431 186942 280413 302862 454293 560826 908586 1232927 1997447 2465854 3698781 3994894 5992341 7397562 8630489 11096343 11984682 13982129 17260978 17977023 22192686 25891467 27964258 32096161 35954046 41946387 51782934 64192322 77674401 83892774 96288483 125839161 155348802 192576966 224673127 251678322 288865449 449346254 577730898 674019381 1348038762 2022058143 4044116286 8890636597 17781273194 26671909791 53343819582 62234456179 80015729373 124468912358 160031458746 186703368537 373406737074 560110105611 1120220211222