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2222212120002 = 2327292776073617
BaseRepresentation
bin100000010101100110001…
…010011111110111000010
321212102220210011010212200
4200111212022133313002
5242402042300320002
64420511541534030
7316356326234310
oct40254612376702
97772823133780
102222212120002
11787486899556
122ba81a414316
13131727644304
14797ac96b0b0
153cc114d0b1c
hex2056629fdc2

2222212120002 has 192 divisors, whose sum is σ = 5723909867520. Its totient is φ = 609636077568.

The previous prime is 2222212119899. The next prime is 2222212120043. The reversal of 2222212120002 is 2000212122222.

2222212120002 is a `hidden beast` number, since 222 + 221 + 21 + 200 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 614378098 + ... + 614381714.

It is an arithmetic number, because the mean of its divisors is an integer number (29812030560).

Almost surely, 22222212120002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222212120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861954933760).

2222212120002 is an abundant number, since it is smaller than the sum of its proper divisors (3501697747518).

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

2222212120002 is a wasteful number, since it uses less digits than its factorization.

2222212120002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2222212120002 its reverse (2000212122222), we get a palindrome (4222424242224).

The spelling of 2222212120002 in words is "two trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twenty thousand, two".