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1210122200112 = 243729823150901
BaseRepresentation
bin10001100111000000111…
…001110110010000110000
311021200112111102011010220
4101213000321312100300
5124311312240400422
62323531130253040
7153266645661360
oct21470071662060
94250474364126
101210122200112
11427234485931
12176643587180
138a1636bc627
14427da9ba9a0
1521728685e5c
hex119c0e76430

1210122200112 has 160 divisors (see below), whose sum is σ = 3700455060480. Its totient is φ = 333418982400.

The previous prime is 1210122200099. The next prime is 1210122200143. The reversal of 1210122200112 is 2110022210121.

It is a junction number, because it is equal to n+sod(n) for n = 1210122200091 and 1210122200100.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7943862 + ... + 8094762.

It is an arithmetic number, because the mean of its divisors is an integer number (23127844128).

Almost surely, 21210122200112 is an apocalyptic number.

1210122200112 is a gapful number since it is divisible by the number (12) 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 1210122200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850227530240).

1210122200112 is an abundant number, since it is smaller than the sum of its proper divisors (2490332860368).

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

1210122200112 is a wasteful number, since it uses less digits than its factorization.

1210122200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151771 (or 151765 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1210122200112 its reverse (2110022210121), we get a palindrome (3320144410233).

The spelling of 1210122200112 in words is "one trillion, two hundred ten billion, one hundred twenty-two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 823 1218 1392 1624 1646 2436 2469 3248 3292 4872 4938 5761 6584 9744 9876 11522 13168 17283 19752 23044 23867 34566 39504 46088 47734 69132 71601 92176 95468 138264 143202 150901 167069 190936 276528 286404 301802 334138 381872 452703 501207 572808 603604 668276 905406 1002414 1056307 1145616 1207208 1336552 1810812 2004828 2112614 2414416 2673104 3168921 3621624 4009656 4225228 4376129 6337842 7243248 8019312 8450456 8752258 12675684 13128387 16900912 17504516 25351368 26256774 30632903 35009032 50702736 52513548 61265806 70018064 91898709 105027096 122531612 124191523 183797418 210054192 245063224 248383046 367594836 372574569 490126448 496766092 735189672 745149138 869340661 993532184 1470379344 1490298276 1738681322 1987064368 2608021983 2980596552 3477362644 3601554167 5216043966 5961193104 6954725288 7203108334 10432087932 10804662501 13909450576 14406216668 20864175864 21609325002 25210879169 28812433336 41728351728 43218650004 50421758338 57624866672 75632637507 86437300008 100843516676 151265275014 172874600016 201687033352 302530550028 403374066704 605061100056 1210122200112