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120022155143040 = 2735173677149361
BaseRepresentation
bin11011010010100011010101…
…111011000010011110000000
3120201222000011100120220122210
4123102203111323002132000
5111212420333204034130
61103133230014302120
734165212614613003
oct3322432573023600
9521860140526583
10120022155143040
1135274123675087
1211565120ab7940
1351c806b45b777
14218d16367753a
15dd20b96cc5b0
hex6d28d5ec2780

120022155143040 has 128 divisors (see below), whose sum is σ = 405074773717920. Its totient is φ = 30123207557120.

The previous prime is 120022155143021. The next prime is 120022155143071. The reversal of 120022155143040 is 40341551220021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 120022155142989 and 120022155143007.

It is a congruent 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, 1838542041 + ... + 1838607320.

Almost surely, 2120022155143040 is an apocalyptic number.

120022155143040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120022155143040 is an abundant number, since it is smaller than the sum of its proper divisors (285052618574880).

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

120022155143040 is a wasteful number, since it uses less digits than its factorization.

120022155143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677149400 (or 3677149388 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 120022155143040 in words is "one hundred twenty trillion, twenty-two billion, one hundred fifty-five million, one hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 3677149361 7354298722 11031448083 14708597444 18385746805 22062896166 29417194888 36771493610 44125792332 55157240415 58834389776 62511539137 73542987220 88251584664 110314480830 117668779552 125023078274 147085974440 176503169328 187534617411 220628961660 235337559104 250046156548 294171948880 312557695685 353006338656 375069234822 441257923320 470675118208 500092313096 588343897760 625115391370 706012677312 750138469644 882515846640 937673087055 1000184626192 1176687795520 1250230782740 1412025354624 1500276939288 1765031693280 1875346174110 2000369252384 2353375591040 2500461565480 3000553878576 3530063386560 3750692348220 4000738504768 5000923130960 6001107757152 7060126773120 7501384696440 8001477009536 10001846261920 12002215514304 15002769392880 20003692523840 24004431028608 30005538785760 40007385047680 60011077571520 120022155143040