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22120011211200 = 2635271036391589
BaseRepresentation
bin1010000011110001101110…
…11010010010000111000000
32220022122121121120112222220
411001320313122102013000
510344403240332224300
6115013443131531040
74442055333005040
oct501706732220700
986278547515886
1022120011211200
1170590537300a1
12259300abb9a80
13c45ba61593c6
14566885731720
152855d3cd0da0
hex141e376921c0

22120011211200 has 336 divisors, whose sum is σ = 83744759754240. Its totient is φ = 5006914375680.

The previous prime is 22120011211189. The next prime is 22120011211253. The reversal of 22120011211200 is 211211002122.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×221200112112002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22120011211200.

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 47 ways as a sum of consecutive naturals, for example, 265006 + ... + 6656594.

Almost surely, 222120011211200 is an apocalyptic number.

22120011211200 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 22120011211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41872379877120).

22120011211200 is an abundant number, since it is smaller than the sum of its proper divisors (61624748543040).

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

22120011211200 is a wasteful number, since it uses less digits than its factorization.

22120011211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391724 (or 6391709 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22120011211200 its reverse (211211002122), we get a palindrome (22331222213322).

The spelling of 22120011211200 in words is "twenty-two trillion, one hundred twenty billion, eleven million, two hundred eleven thousand, two hundred".