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12022940160 = 29355711251
BaseRepresentation
bin10110011001001111…
…11000001000000000
31011000220021122100000
423030213320020000
5144110333041120
65305005200000
7603640206450
oct131447701000
934026248300
1012022940160
11510a6aa990
1223b6560000
131197b3729a
14820aadd60
154a57a2990
hex2cc9f8200

12022940160 has 960 divisors, whose sum is σ = 54050540544. Its totient is φ = 2488320000.

The previous prime is 12022940129. The next prime is 12022940201. The reversal of 12022940160 is 6104922021.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47900035 + ... + 47900285.

Almost surely, 212022940160 is an apocalyptic number.

12022940160 is a gapful number since it is divisible by the number (10) 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 12022940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27025270272).

12022940160 is an abundant number, since it is smaller than the sum of its proper divisors (42027600384).

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

12022940160 is an equidigital number, since it uses as much as digits as its factorization.

12022940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12022940160 in words is "twelve billion, twenty-two million, nine hundred forty thousand, one hundred sixty".