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1223120000 = 275415289
BaseRepresentation
bin100100011100111…
…0101010010000000
310011020111221012202
41020321311102000
510001104320000
6321211412332
742211230344
oct11071652200
93136457182
101223120000
11578468183
122a17540a8
1316652aa5b
14b862b624
15725a5dd5
hex48e75480

1223120000 has 80 divisors (see below), whose sum is σ = 3045079950. Its totient is φ = 489216000.

The previous prime is 1223119987. The next prime is 1223120011. The reversal of 1223120000 is 213221.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 35904064 + 1187215936 = 5992^2 + 34456^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 72356 + ... + 87644.

Almost surely, 21223120000 is an apocalyptic number.

1223120000 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 1223120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522539975).

1223120000 is an abundant number, since it is smaller than the sum of its proper divisors (1821959950).

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

1223120000 is an frugal number, since it uses more digits than its factorization.

1223120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15323 (or 15296 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1223120000 is about 34973.1325448551. The cubic root of 1223120000 is about 1069.4398325670.

Adding to 1223120000 its reverse (213221), we get a palindrome (1223333221).

The spelling of 1223120000 in words is "one billion, two hundred twenty-three million, one 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 1250 1600 2000 2500 3200 4000 5000 8000 10000 15289 16000 20000 30578 40000 61156 76445 80000 122312 152890 244624 305780 382225 489248 611560 764450 978496 1223120 1528900 1911125 1956992 2446240 3057800 3822250 4892480 6115600 7644500 9555625 9784960 12231200 15289000 19111250 24462400 30578000 38222500 48924800 61156000 76445000 122312000 152890000 244624000 305780000 611560000 1223120000