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1222211122000 = 245311232105019
BaseRepresentation
bin10001110010010001011…
…101011011001101010000
311022211201222212000101121
4101302101131123031100
5130011042021401000
62333250454012024
7154205350060531
oct21622135331520
94284658760347
101222211122000
11431378351870
12178a58047014
138b33c0b944b
1443226344688
1521bd4b1db1a
hex11c9175b350

1222211122000 has 240 divisors, whose sum is σ = 3370269913920. Its totient is φ = 425112864000.

The previous prime is 1222211121997. The next prime is 1222211122001. The reversal of 1222211122000 is 2211122221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222211122001) 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 47 ways as a sum of consecutive naturals, for example, 11585491 + ... + 11690509.

It is an arithmetic number, because the mean of its divisors is an integer number (14042791308).

Almost surely, 21222211122000 is an apocalyptic number.

1222211122000 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 1222211122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685134956960).

1222211122000 is an abundant number, since it is smaller than the sum of its proper divisors (2148058791920).

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

1222211122000 is a wasteful number, since it uses less digits than its factorization.

1222211122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105099 (or 105060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1222211122000 its reverse (2211122221), we get a palindrome (1224422244221).

The spelling of 1222211122000 in words is "one trillion, two hundred twenty-two billion, two hundred eleven million, one hundred twenty-two thousand".