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122850250000 = 24567012
BaseRepresentation
bin111001001101001110…
…0100000110100010000
3102202002122102022110021
41302122130200310100
54003044131000000
6132234151113224
711606225616112
oct1623234406420
9382078368407
10122850250000
1148111844135
121b986372814
13b77a85972a
145d35acb3b2
1532e031911a
hex1c9a720d10

122850250000 has 105 divisors (see below), whose sum is σ = 297949174483. Its totient is φ = 49070000000.

The previous prime is 122850249997. The next prime is 122850250043. The reversal of 122850250000 is 52058221.

The square root of 122850250000 is 350500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 122799783184 + 50466816 = 350428^2 + 7104^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 175249650 + ... + 175250350.

Almost surely, 2122850250000 is an apocalyptic number.

122850250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122850250000 is the 350500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122850250000

122850250000 is an abundant number, since it is smaller than the sum of its proper divisors (175098924483).

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

122850250000 is an frugal number, since it uses more digits than its factorization.

122850250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Multiplying 122850250000 by its sum of digits (25), we get a square (3071256250000 = 17525002).

122850250000 divided by its sum of digits (25) gives a square (4914010000 = 701002).

Multiplying 122850250000 by its product of nonzero digits (1600), we get a square (196560400000000 = 140200002).

The spelling of 122850250000 in words is "one hundred twenty-two billion, eight hundred fifty million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 701 1000 1250 1402 2000 2500 2804 3125 3505 5000 5608 6250 7010 10000 11216 12500 14020 15625 17525 25000 28040 31250 35050 50000 56080 62500 70100 87625 125000 140200 175250 250000 280400 350500 438125 491401 701000 876250 982802 1402000 1752500 1965604 2190625 2457005 3505000 3931208 4381250 4914010 7010000 7862416 8762500 9828020 10953125 12285025 17525000 19656040 21906250 24570050 35050000 39312080 43812500 49140100 61425125 87625000 98280200 122850250 175250000 196560400 245700500 307125625 491401000 614251250 982802000 1228502500 1535628125 2457005000 3071256250 4914010000 6142512500 7678140625 12285025000 15356281250 24570050000 30712562500 61425125000 122850250000