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120012223001000 = 23531119015739191
BaseRepresentation
bin11011010010011010000101…
…111010111011000110101000
3120201221001112011111211011012
4123102122011322323012220
5111212240013042013000
61103124504254123052
734164411523033451
oct3322320572730650
9521831464454135
10120012223001000
113526a997198830
121156320a7b0488
1351c714783cb45
14218c8a053a128
15dd1bd7775735
hex6d2685ebb1a8

120012223001000 has 128 divisors (see below), whose sum is σ = 306519684606720. Its totient is φ = 43617844000000.

The previous prime is 120012223000997. The next prime is 120012223001009. The reversal of 120012223001000 is 100322210021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120012223001009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18041405 + ... + 23780595.

It is an arithmetic number, because the mean of its divisors is an integer number (2394685035990).

Almost surely, 2120012223001000 is an apocalyptic number.

120012223001000 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 120012223001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153259842303360).

120012223001000 is an abundant number, since it is smaller than the sum of its proper divisors (186507461605720).

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

120012223001000 is a wasteful number, since it uses less digits than its factorization.

120012223001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741124 (or 5741110 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 120012223001000 its reverse (100322210021), we get a palindrome (120112545211021).

The spelling of 120012223001000 in words is "one hundred twenty trillion, twelve billion, two hundred twenty-three million, 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 1901 2200 2750 3802 5500 7604 9505 11000 15208 19010 20911 38020 41822 47525 76040 83644 95050 104555 167288 190100 209110 237625 380200 418220 475250 522775 836440 950500 1045550 1901000 2091100 2613875 4182200 5227750 5739191 10455500 11478382 20911000 22956764 28695955 45913528 57391910 63131101 114783820 126262202 143479775 229567640 252524404 286959550 315655505 505048808 573919100 631311010 717398875 1147838200 1262622020 1434797750 1578277525 2525244040 2869595500 3156555050 5739191000 6313110100 7891387625 10910202091 12626220200 15782775250 21820404182 31565550500 43640808364 54551010455 63131101000 87281616728 109102020910 120012223001 218204041820 240024446002 272755052275 436408083640 480048892004 545510104550 600061115005 960097784008 1091020209100 1200122230010 1363775261375 2182040418200 2400244460020 2727550522750 3000305575025 4800488920040 5455101045500 6000611150050 10910202091000 12001222300100 15001527875125 24002444600200 30003055750250 60006111500500 120012223001000