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22012320000 = 28354112379
BaseRepresentation
bin10100100000000010…
…010101100100000000
32002211002001201100010
4110200002111210000
5330040123220000
614040132224520
71406325430026
oct244002254400
962732051303
1022012320000
119376420900
124323a6b140
1320ca576828
1410cb66a716
1588c763d50
hex520095900

22012320000 has 540 divisors, whose sum is σ = 80680236560. Its totient is φ = 5322240000.

The previous prime is 22012319969. The next prime is 22012320007. The reversal of 22012320000 is 2321022.

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

It is not an unprimeable number, because it can be changed into a prime (22012320007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58079811 + ... + 58080189.

Almost surely, 222012320000 is an apocalyptic number.

22012320000 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 22012320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40340118280).

22012320000 is an abundant number, since it is smaller than the sum of its proper divisors (58667916560).

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

22012320000 is an equidigital number, since it uses as much as digits as its factorization.

22012320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 22012320000 its reverse (2321022), we get a palindrome (22014641022).

The spelling of 22012320000 in words is "twenty-two billion, twelve million, three hundred twenty thousand".