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1222201100120 = 23571113171795559
BaseRepresentation
bin10001110010010000110…
…111001100011101011000
311022211201021222211221212
4101302100313030131120
5130011031440200440
62333245455122252
7154205165640320
oct21622067143530
94284637884855
101222201100120
11431372727220
12178a54813388
138b339cba940
1443224c96280
1521bd3cde465
hex11c90dcc758

1222201100120 has 256 divisors, whose sum is σ = 3909436876800. Its totient is φ = 330957250560.

The previous prime is 1222201100117. The next prime is 1222201100147. The reversal of 1222201100120 is 210011022221.

It is a super-3 number, since 3×12222011001203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1222201100095 and 1222201100104.

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 63 ways as a sum of consecutive naturals, for example, 217100 + ... + 1578459.

It is an arithmetic number, because the mean of its divisors is an integer number (15271237800).

Almost surely, 21222201100120 is an apocalyptic number.

1222201100120 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 1222201100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954718438400).

1222201100120 is an abundant number, since it is smaller than the sum of its proper divisors (2687235776680).

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

1222201100120 is a wasteful number, since it uses less digits than its factorization.

1222201100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795618 (or 1795614 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1222201100120 its reverse (210011022221), we get a palindrome (1432212122341).

The spelling of 1222201100120 in words is "one trillion, two hundred twenty-two billion, two hundred one million, one hundred thousand, one hundred twenty".