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21222011210000 = 245429103170979
BaseRepresentation
bin1001101001101001000100…
…11100001000100100010000
32210010210201110010221100012
410310310202130020210100
510240200134332210000
6113045131331214052
74320145135642556
oct464644234104420
983123643127305
1021222011210000
116842228086a77
122468b74747328
13bac2c4b46c53
14535217c03bd6
1526c077166735
hex134d22708910

21222011210000 has 200 divisors, whose sum is σ = 53204660308800. Its totient is φ = 8188022080000.

The previous prime is 21222011209981. The next prime is 21222011210011. The reversal of 21222011210000 is 1211022212.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 298954511 + ... + 299025489.

It is an arithmetic number, because the mean of its divisors is an integer number (266023301544).

Almost surely, 221222011210000 is an apocalyptic number.

21222011210000 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 21222011210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26602330154400).

21222011210000 is an abundant number, since it is smaller than the sum of its proper divisors (31982649098800).

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

21222011210000 is a wasteful number, since it uses less digits than its factorization.

21222011210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72067 (or 72046 counting only the distinct ones).

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

Adding to 21222011210000 its reverse (1211022212), we get a palindrome (21223222232212).

The spelling of 21222011210000 in words is "twenty-one trillion, two hundred twenty-two billion, eleven million, two hundred ten thousand".