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1222702221312 = 2113711132383
BaseRepresentation
bin10001110010101110101…
…110110100100000000000
311022220000012221110000000
4101302232232310200000
5130013043232040222
62333411320000000
7154223462254125
oct21625656644000
94286005843000
101222702221312
114315aa589a70
12178b74600000
138b3b9a76160
144327166074c
1521c12cc99ac
hex11caebb4800

1222702221312 has 1536 divisors, whose sum is σ = 4549121740800. Its totient is φ = 323202908160.

The previous prime is 1222702221311. The next prime is 1222702221331. The reversal of 1222702221312 is 2131222072221.

1222702221312 is a `hidden beast` number, since 122 + 2 + 7 + 0 + 2 + 221 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1222702221311) 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 127 ways as a sum of consecutive naturals, for example, 14731352023 + ... + 14731352105.

It is an arithmetic number, because the mean of its divisors is an integer number (2961667800).

Almost surely, 21222702221312 is an apocalyptic number.

1222702221312 is a gapful number since it is divisible by the number (12) 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 1222702221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274560870400).

1222702221312 is an abundant number, since it is smaller than the sum of its proper divisors (3326419519488).

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

1222702221312 is an equidigital number, since it uses as much as digits as its factorization.

1222702221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 1222702221312 its reverse (2131222072221), we get a palindrome (3353924293533).

The spelling of 1222702221312 in words is "one trillion, two hundred twenty-two billion, seven hundred two million, two hundred twenty-one thousand, three hundred twelve".