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22122320000000 = 2105711231093
BaseRepresentation
bin1010000011110110000010…
…00001100111010000000000
32220022212120111222011211012
411001323001001213100000
510344423002410000000
6115014504205140052
74442166466252523
oct501730101472000
986285514864735
1022122320000000
11705a028a04310
12259355425a628
13c4618358aa1c
14566a2420abba
152856bb83b735
hex141ec1067400

22122320000000 has 704 divisors, whose sum is σ = 62983470011904. Its totient is φ = 7687680000000.

The previous prime is 22122319999991. The next prime is 22122320000029. The reversal of 22122320000000 is 2322122.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 22122320000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20239999454 + ... + 20240000546.

Almost surely, 222122320000000 is an apocalyptic number.

22122320000000 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 22122320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31491735005952).

22122320000000 is an abundant number, since it is smaller than the sum of its proper divisors (40861150011904).

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

22122320000000 is an frugal number, since it uses more digits than its factorization.

22122320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 22122320000000 its reverse (2322122), we get a palindrome (22122322322122).

The spelling of 22122320000000 in words is "twenty-two trillion, one hundred twenty-two billion, three hundred twenty million", and thus it is an aban number.