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12022010320 = 245295181901
BaseRepresentation
bin10110011001001000…
…10101000111010000
31011000211112101211111
423030210111013100
5144110113312240
65304533223104
7603626254525
oct131444250720
934024471744
1012022010320
11510a125321
1223b6191a94
13119789cc98
1482090b14c
154a566c1ea
hex2cc9151d0

12022010320 has 40 divisors (see below), whose sum is σ = 28915013160. Its totient is φ = 4642982400.

The previous prime is 12022010303. The next prime is 12022010321. The reversal of 12022010320 is 2301022021.

It can be written as a sum of positive squares in 4 ways, for example, as 2049191824 + 9972818496 = 45268^2 + 99864^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 12022010320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022010321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2588631 + ... + 2593270.

It is an arithmetic number, because the mean of its divisors is an integer number (722875329).

Almost surely, 212022010320 is an apocalyptic number.

12022010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022010320 is an abundant number, since it is smaller than the sum of its proper divisors (16893002840).

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

12022010320 is a wasteful number, since it uses less digits than its factorization.

12022010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5181943 (or 5181937 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12022010320 its reverse (2301022021), we get a palindrome (14323032341).

The spelling of 12022010320 in words is "twelve billion, twenty-two million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 5181901 10363802 20727604 25909505 41455208 51819010 82910416 103638020 150275129 207276040 300550258 414552080 601100516 751375645 1202201032 1502751290 2404402064 3005502580 6011005160 12022010320