Search a number
-
+
122413520000 = 275412372
BaseRepresentation
bin111001000000001101…
…0100001010010000000
3102200222012122010112002
41302000122201102000
54001200330120000
6132122550323132
711562343515602
oct1620032412200
9380865563462
10122413520000
1147a08271452
121b8840594a8
13b70b227b05
145cd3ac5172
1532b6cec8d5
hex1c806a1480

122413520000 has 120 divisors (see below), whose sum is σ = 304987361085. Its totient is φ = 48925824000.

The previous prime is 122413519961. The next prime is 122413520041. The reversal of 122413520000 is 25314221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 31091776 + 122382428224 = 5576^2 + 349832^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247400.

It is a hoax number, since the sum of its digits (20) 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 (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 98959382 + ... + 98960618.

Almost surely, 2122413520000 is an apocalyptic number.

122413520000 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 122413520000

122413520000 is an abundant number, since it is smaller than the sum of its proper divisors (182573841085).

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

122413520000 is an frugal number, since it uses more digits than its factorization.

122413520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 122413520000 its reverse (25314221), we get a palindrome (122438834221).

The spelling of 122413520000 in words is "one hundred twenty-two billion, four hundred thirteen million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1237 1250 1600 2000 2474 2500 3200 4000 4948 5000 6185 8000 9896 10000 12370 16000 19792 20000 24740 30925 39584 40000 49480 61850 79168 80000 98960 123700 154625 158336 197920 247400 309250 395840 494800 618500 773125 791680 989600 1237000 1530169 1546250 1979200 2474000 3060338 3092500 3958400 4948000 6120676 6185000 7650845 9896000 12241352 12370000 15301690 19792000 24482704 24740000 30603380 38254225 48965408 49480000 61206760 76508450 97930816 98960000 122413520 153016900 191271125 195861632 244827040 306033800 382542250 489654080 612067600 765084500 956355625 979308160 1224135200 1530169000 1912711250 2448270400 3060338000 3825422500 4896540800 6120676000 7650845000 12241352000 15301690000 24482704000 30603380000 61206760000 122413520000