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120010211212000 = 2553199150766597
BaseRepresentation
bin11011010010011000001110…
…000000100011101011100000
3120201220212022221222100110111
4123102120032000203223200
5111212221403032241000
61103123532510341104
734164310624101424
oct3322301600435340
9521825287870414
10120010211212000
113526a05462999a
1211562948aba794
1351c6bb6ac8855
14218c74d292b84
15dd1b1ad34cba
hex6d260e023ae0

120010211212000 has 96 divisors (see below), whose sum is σ = 296346825028800. Its totient is φ = 47762857612800.

The previous prime is 120010211211983. The next prime is 120010211212049. The reversal of 120010211212000 is 212112010021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74587299 + ... + 76179298.

It is an arithmetic number, because the mean of its divisors is an integer number (3086946094050).

Almost surely, 2120010211212000 is an apocalyptic number.

120010211212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120010211212000 is an abundant number, since it is smaller than the sum of its proper divisors (176336613816800).

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

120010211212000 is a wasteful number, since it uses less digits than its factorization.

120010211212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150766821 (or 150766803 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 120010211212000 its reverse (212112010021), we get a palindrome (120222323222021).

The spelling of 120010211212000 in words is "one hundred twenty trillion, ten billion, two hundred eleven million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 199 200 250 398 400 500 796 800 995 1000 1592 1990 2000 3184 3980 4000 4975 6368 7960 9950 15920 19900 24875 31840 39800 49750 79600 99500 159200 199000 398000 796000 150766597 301533194 603066388 753832985 1206132776 1507665970 2412265552 3015331940 3769164925 4824531104 6030663880 7538329850 12061327760 15076659700 18845824625 24122655520 30002552803 30153319400 37691649250 60005105606 60306638800 75383298500 120010211212 120613277600 150012764015 150766597000 240020422424 300025528030 301533194000 480040844848 600051056060 603066388000 750063820075 960081689696 1200102112120 1500127640150 2400204224240 3000255280300 3750319100375 4800408448480 6000510560600 7500638200750 12001021121200 15001276401500 24002042242400 30002552803000 60005105606000 120010211212000