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2222011220000 = 2554111353107137
BaseRepresentation
bin100000010101011010001…
…100001000000000100000
321212102101210010100212212
4200111122030020000200
5242401134333020000
64420440003541252
7316351336511105
oct40253214100040
97772353110785
102222011220000
117873934513a0
122ba78308a828
131316c4b33480
147978ddd2aac
153cbeda49c35
hex2055a308020

2222011220000 has 960 divisors, whose sum is σ = 6652692756864. Its totient is φ = 719646720000.

The previous prime is 2222011219997. The next prime is 2222011220003. The reversal of 2222011220000 is 221102222.

It is an interprime number because it is at equal distance from previous prime (2222011219997) and next prime (2222011220003).

It is not an unprimeable number, because it can be changed into a prime (2222011220003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16219059932 + ... + 16219060068.

Almost surely, 22222011220000 is an apocalyptic number.

2222011220000 is a gapful number since it is divisible by the number (20) 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 2222011220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326346378432).

2222011220000 is an abundant number, since it is smaller than the sum of its proper divisors (4430681536864).

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

2222011220000 is a wasteful number, since it uses less digits than its factorization.

2222011220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2222011220000 its reverse (221102222), we get a palindrome (2222232322222).

The spelling of 2222011220000 in words is "two trillion, two hundred twenty-two billion, eleven million, two hundred twenty thousand".