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22001022001200 = 243521164313811877
BaseRepresentation
bin1010000000010100000110…
…00110011110000000110000
32212220021111001101101201010
411000022003012132000300
510340431043113014300
6114443044024110520
74430343556263204
oct500120306360060
985807431341633
1022001022001200
117012643399510
122573b41905440
13c378c24b9538
14560bd8744b04
1528246c93da50
hex14028319e030

22001022001200 has 480 divisors, whose sum is σ = 77099954787072. Its totient is φ = 5318595072000.

The previous prime is 22001022001199. The next prime is 22001022001261. The reversal of 22001022001200 is 210022010022.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 11721374662 + ... + 11721376538.

Almost surely, 222001022001200 is an apocalyptic number.

22001022001200 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 22001022001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38549977393536).

22001022001200 is an abundant number, since it is smaller than the sum of its proper divisors (55098932785872).

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

22001022001200 is a wasteful number, since it uses less digits than its factorization.

22001022001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22001022001200 its reverse (210022010022), we get a palindrome (22211044011222).

The spelling of 22001022001200 in words is "twenty-two trillion, one billion, twenty-two million, one thousand, two hundred".