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120221022000 = 2435389225133
BaseRepresentation
bin110111111110110111…
…0110011011100110000
3102111022102001200200110
41233331232303130300
53432203040201000
6131121225421320
711454121553262
oct1577556633460
9374272050613
10120221022000
1146a926a6232
121b37193a840
13b44bc22011
145b6683bb32
1531d95b3850
hex1bfdbb3730

120221022000 has 160 divisors (see below), whose sum is σ = 391949288640. Its totient is φ = 31698585600.

The previous prime is 120221021993. The next prime is 120221022023. The reversal of 120221022000 is 220122021.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 421434 + ... + 646566.

It is an arithmetic number, because the mean of its divisors is an integer number (2449683054).

Almost surely, 2120221022000 is an apocalyptic number.

120221022000 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 120221022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195974644320).

120221022000 is an abundant number, since it is smaller than the sum of its proper divisors (271728266640).

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

120221022000 is a wasteful number, since it uses less digits than its factorization.

120221022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225248 (or 225232 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120221022000 its reverse (220122021), we get a palindrome (120441144021).

The spelling of 120221022000 in words is "one hundred twenty billion, two hundred twenty-one million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 89 100 120 125 150 178 200 240 250 267 300 356 375 400 445 500 534 600 712 750 890 1000 1068 1200 1335 1424 1500 1780 2000 2136 2225 2670 3000 3560 4272 4450 5340 6000 6675 7120 8900 10680 11125 13350 17800 21360 22250 26700 33375 35600 44500 53400 66750 89000 106800 133500 178000 225133 267000 450266 534000 675399 900532 1125665 1350798 1801064 2251330 2701596 3376995 3602128 4502660 5403192 5628325 6753990 9005320 10806384 11256650 13507980 16884975 18010640 20036837 22513300 27015960 28141625 33769950 40073674 45026600 54031920 56283250 60110511 67539900 80147348 84424875 90053200 100184185 112566500 120221022 135079800 160294696 168849750 200368370 225133000 240442044 270159600 300552555 320589392 337699500 400736740 450266000 480884088 500920925 601105110 675399000 801473480 961768176 1001841850 1202210220 1350798000 1502762775 1602946960 2003683700 2404420440 2504604625 3005525550 4007367400 4808840880 5009209250 6011051100 7513813875 8014734800 10018418500 12022102200 15027627750 20036837000 24044204400 30055255500 40073674000 60110511000 120221022000