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10122212000 = 255319133187
BaseRepresentation
bin10010110110101010…
…01011001010100000
3222010102201122110202
421123111023022200
5131212241241000
64352230044332
7505560245105
oct113325131240
928112648422
1010122212000
1143247a776a
121b65aa96a8
13c5410a174
146c0496aac
153e399ddd5
hex25b54b2a0

10122212000 has 96 divisors (see below), whose sum is σ = 26179433280. Its totient is φ = 3835756800.

The previous prime is 10122211999. The next prime is 10122212017. The reversal of 10122212000 is 21222101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9407 + ... + 142593.

It is an arithmetic number, because the mean of its divisors is an integer number (272702430).

Almost surely, 210122212000 is an apocalyptic number.

10122212000 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 10122212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13089716640).

10122212000 is an abundant number, since it is smaller than the sum of its proper divisors (16057221280).

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

10122212000 is a wasteful number, since it uses less digits than its factorization.

10122212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133231 (or 133213 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10122212000 its reverse (21222101), we get a palindrome (10143434101).

The spelling of 10122212000 in words is "ten billion, one hundred twenty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 760 800 950 1000 1520 1900 2000 2375 3040 3800 4000 4750 7600 9500 15200 19000 38000 76000 133187 266374 532748 665935 1065496 1331870 2130992 2530553 2663740 3329675 4261984 5061106 5327480 6659350 10122212 10654960 12652765 13318700 16648375 20244424 21309920 25305530 26637400 33296750 40488848 50611060 53274800 63263825 66593500 80977696 101222120 106549600 126527650 133187000 202444240 253055300 266374000 316319125 404888480 506110600 532748000 632638250 1012221200 1265276500 2024442400 2530553000 5061106000 10122212000