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120012122021000 = 23531141392635949
BaseRepresentation
bin11011010010011001111111…
…111001101101110010001000
3120201221001021010111111122012
4123102121333321231302020
5111212234311214133000
61103124450245515052
734164406155520226
oct3322317771556210
9521831233444565
10120012122021000
113526a945197a90
12115631a0a12a88
1351c712c945271
14218c890d71b16
15dd1bcd97a735
hex6d267fe6dc88

120012122021000 has 128 divisors (see below), whose sum is σ = 306432350640000. Its totient is φ = 43630211296000.

The previous prime is 120012122020957. The next prime is 120012122021101. The reversal of 120012122021000 is 120221210021.

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, 44211026 + ... + 46846974.

It is an arithmetic number, because the mean of its divisors is an integer number (2394002739375).

Almost surely, 2120012122021000 is an apocalyptic number.

120012122021000 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 120012122021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153216175320000).

120012122021000 is an abundant number, since it is smaller than the sum of its proper divisors (186420228619000).

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

120012122021000 is a wasteful number, since it uses less digits than its factorization.

120012122021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640120 (or 2640106 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120012122021000 its reverse (120221210021), we get a palindrome (120132343231021).

The spelling of 120012122021000 in words is "one hundred twenty trillion, twelve billion, one hundred twenty-two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 4139 5500 8278 11000 16556 20695 33112 41390 45529 82780 91058 103475 165560 182116 206950 227645 364232 413900 455290 517375 827800 910580 1034750 1138225 1821160 2069500 2276450 2635949 4139000 4552900 5271898 5691125 9105800 10543796 11382250 13179745 21087592 22764500 26359490 28995439 45529000 52718980 57990878 65898725 105437960 115981756 131797450 144977195 231963512 263594900 289954390 329493625 527189800 579908780 658987250 724885975 1159817560 1317974500 1449771950 2635949000 2899543900 3624429875 5799087800 7248859750 10910192911 14497719500 21820385822 28995439000 43640771644 54550964555 87281543288 109101929110 120012122021 218203858220 240024244042 272754822775 436407716440 480048488084 545509645550 600060610105 960096976168 1091019291100 1200121220210 1363774113875 2182038582200 2400242440420 2727548227750 3000303050525 4800484880840 5455096455500 6000606101050 10910192911000 12001212202100 15001515252625 24002424404200 30003030505250 60006061010500 120012122021000