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120121222000 = 24531344310429
BaseRepresentation
bin110111111011111001…
…0000110001101110000
3102111001110021022211011
41233313302012031300
53432002013101000
6131103302400304
711451500353213
oct1576762061560
9374043238734
10120121222000
1146a41330a9a
121b344430094
13b43434b570
145b5749d77a
1531d094d2ba
hex1bf7c86370

120121222000 has 160 divisors (see below), whose sum is σ = 313531807680. Its totient is φ = 44248089600.

The previous prime is 120121221989. The next prime is 120121222027. The reversal of 120121222000 is 222121021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11512786 + ... + 11523214.

It is an arithmetic number, because the mean of its divisors is an integer number (1959573798).

Almost surely, 2120121222000 is an apocalyptic number.

120121222000 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 120121222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156765903840).

120121222000 is an abundant number, since it is smaller than the sum of its proper divisors (193410585680).

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

120121222000 is a wasteful number, since it uses less digits than its factorization.

120121222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10908 (or 10892 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120121222000 its reverse (222121021), we get a palindrome (120343343021).

The spelling of 120121222000 in words is "one hundred twenty billion, one hundred twenty-one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 443 500 520 650 886 1000 1040 1300 1625 1772 2000 2215 2600 3250 3544 4430 5200 5759 6500 7088 8860 10429 11075 11518 13000 17720 20858 22150 23036 26000 28795 35440 41716 44300 46072 52145 55375 57590 83432 88600 92144 104290 110750 115180 135577 143975 166864 177200 208580 221500 230360 260725 271154 287950 417160 443000 460720 521450 542308 575900 677885 719875 834320 886000 1042900 1084616 1151800 1303625 1355770 1439750 2085800 2169232 2303600 2607250 2711540 2879500 3389425 4171600 4620047 5214500 5423080 5759000 6778850 9240094 10429000 10846160 11518000 13557700 16947125 18480188 20858000 23100235 27115400 33894250 36960376 46200470 54230800 60060611 67788500 73920752 92400940 115501175 120121222 135577000 184801880 231002350 240242444 271154000 300303055 369603760 462004700 480484888 577505875 600606110 924009400 960969776 1155011750 1201212220 1501515275 1848018800 2310023500 2402424440 3003030550 4620047000 4804848880 6006061100 7507576375 9240094000 12012122200 15015152750 24024244400 30030305500 60060611000 120121222000