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120010121120120 = 235711229170149891
BaseRepresentation
bin11011010010011000001000…
…101000111000100101111000
3120201220212002200110012122012
4123102120020220320211320
5111212221212001320440
61103123515531345052
734164305451244040
oct3322301050704570
9521825080405565
10120010121120120
113526a0087955a0
12115629228b2188
1351c6ba1243b4a
14218c741320720
15dd1b12e8ae65
hex6d2608a38978

120010121120120 has 128 divisors (see below), whose sum is σ = 338121865382400. Its totient is φ = 37242407923200.

The previous prime is 120010121120119. The next prime is 120010121120129. The reversal of 120010121120120 is 21021121010021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120010121120095 and 120010121120104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010121120129) 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, 84369626 + ... + 85780265.

It is an arithmetic number, because the mean of its divisors is an integer number (2641577073300).

Almost surely, 2120010121120120 is an apocalyptic number.

120010121120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120010121120120 is an abundant number, since it is smaller than the sum of its proper divisors (218111744262280).

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

120010121120120 is a wasteful number, since it uses less digits than its factorization.

120010121120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170150149 (or 170150145 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120010121120120 its reverse (21021121010021), we get a palindrome (141031242130141).

The spelling of 120010121120120 in words is "one hundred twenty trillion, ten billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 229 280 308 385 440 458 616 770 916 1145 1540 1603 1832 2290 2519 3080 3206 4580 5038 6412 8015 9160 10076 12595 12824 16030 17633 20152 25190 32060 35266 50380 64120 70532 88165 100760 141064 176330 352660 705320 170149891 340299782 680599564 850749455 1191049237 1361199128 1701498910 1871648801 2382098474 3402997820 3743297602 4764196948 5955246185 6805995640 7486595204 9358244005 9528393896 11910492370 13101541607 14973190408 18716488010 23820984740 26203083214 37432976020 38964325039 47641969480 52406166428 65507708035 74865952040 77928650078 104812332856 131015416070 155857300156 194821625195 262030832140 272750275273 311714600312 389643250390 428607575429 524061664280 545500550546 779286500780 857215150858 1091001101092 1363751376365 1558573001560 1714430301716 2143037877145 2182002202184 2727502752730 3000253028003 3428860603432 4286075754290 5455005505460 6000506056006 8572151508580 10910011010920 12001012112012 15001265140015 17144303017160 24002024224024 30002530280030 60005060560060 120010121120120