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120212120010020 = 225172418591707887
BaseRepresentation
bin11011010101010100010000…
…101101011111110100100100
3120202122011111100000000120212
4123111110100231133310210
5111224023410210310040
61103400404024514552
734215016253420303
oct3325242055376444
9522564440000525
10120212120010020
1135337745905315
1211595ab791ba58
13520cc5370bcbc
142198424a8c43a
15dd6ed6b53d65
hex6d5510b5fd24

120212120010020 has 96 divisors (see below), whose sum is σ = 268716911823360. Its totient is φ = 45016049295360.

The previous prime is 120212120010013. The next prime is 120212120010029. The reversal of 120212120010020 is 20010021212021.

It is a junction number, because it is equal to n+sod(n) for n = 120212120009977 and 120212120010004.

It is not an unprimeable number, because it can be changed into a prime (120212120010029) 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, 69532517 + ... + 71240403.

It is an arithmetic number, because the mean of its divisors is an integer number (2799134498160).

Almost surely, 2120212120010020 is an apocalyptic number.

120212120010020 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 120212120010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134358455911680).

120212120010020 is an abundant number, since it is smaller than the sum of its proper divisors (148504791813340).

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

120212120010020 is a wasteful number, since it uses less digits than its factorization.

120212120010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709013 (or 1709011 counting only the distinct ones).

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

Adding to 120212120010020 its reverse (20010021212021), we get a palindrome (140222141222041).

The spelling of 120212120010020 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred twenty million, ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 241 340 482 859 964 1205 1718 2410 3436 4097 4295 4820 8194 8590 14603 16388 17180 20485 29206 40970 58412 73015 81940 146030 207019 292060 414038 828076 1035095 1707887 2070190 3415774 3519323 4140380 6831548 7038646 8539435 14077292 17078870 17596615 29034079 34157740 35193230 58068158 70386460 116136316 145170395 290340790 411600767 580681580 823201534 1467074933 1646403068 2058003835 2934149866 4116007670 5868299732 6997213039 7335374665 8232015340 13994426078 14670749330 24940273861 27988852156 29341498660 34986065195 49880547722 69972130390 99761095444 124701369305 139944260780 249402738610 353565058853 498805477220 707130117706 1414260235412 1767825294265 3535650588530 6010606000501 7071301177060 12021212001002 24042424002004 30053030002505 60106060005010 120212120010020