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20121220320 = 253541919209
BaseRepresentation
bin10010101111010100…
…010111010011100000
31220221021121220021020
4102233110113103200
5312202013022240
613124335325440
71311423356625
oct225724272340
956837556236
1020121220320
1185959a4703
123a96680880
131b8883b136
14d8c43c34c
157cb7130d0
hex4af5174e0

20121220320 has 48 divisors (see below), whose sum is σ = 63381845520. Its totient is φ = 5365658624.

The previous prime is 20121220319. The next prime is 20121220321. The reversal of 20121220320 is 2302212102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20121220319) and next prime (20121220321).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20121220320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121220321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20959125 + ... + 20960084.

It is an arithmetic number, because the mean of its divisors is an integer number (1320455115).

Almost surely, 220121220320 is an apocalyptic number.

20121220320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121220320 is an abundant number, since it is smaller than the sum of its proper divisors (43260625200).

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

20121220320 is a wasteful number, since it uses less digits than its factorization.

20121220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41919227 (or 41919219 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20121220320 its reverse (2302212102), we get a palindrome (22423432422).

The spelling of 20121220320 in words is "twenty billion, one hundred twenty-one million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 41919209 83838418 125757627 167676836 209596045 251515254 335353672 419192090 503030508 628788135 670707344 838384180 1006061016 1257576270 1341414688 1676768360 2012122032 2515152540 3353536720 4024244064 5030305080 6707073440 10060610160 20121220320