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120020221000212 = 2231310611296755921
BaseRepresentation
bin11011010010100001100010…
…101000110111101000010100
3120201221211011120011021111020
4123102201202220313220110
5111212402403034001322
61103132310043041140
734165113650641431
oct3322414250675024
9521854146137436
10120020221000212
1135273320919a35
12115648812101b0
1351c7b20832360
14218d01c842b88
15dd20049c805c
hex6d2862a37a14

120020221000212 has 96 divisors (see below), whose sum is σ = 301902202070784. Its totient is φ = 36890987673600.

The previous prime is 120020221000201. The next prime is 120020221000213. The reversal of 120020221000212 is 212000122020021.

It is a junction number, because it is equal to n+sod(n) for n = 120020221000191 and 120020221000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020221000213) 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, 2146218012 + ... + 2146273932.

It is an arithmetic number, because the mean of its divisors is an integer number (3144814604904).

Almost surely, 2120020221000212 is an apocalyptic number.

120020221000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120020221000212 is an abundant number, since it is smaller than the sum of its proper divisors (181881981070572).

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

120020221000212 is a wasteful number, since it uses less digits than its factorization.

120020221000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69969 (or 69967 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120020221000212 its reverse (212000122020021), we get a palindrome (332020343020233).

The spelling of 120020221000212 in words is "one hundred twenty trillion, twenty billion, two hundred twenty-one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1061 2122 3183 4244 6366 12732 12967 13793 25934 27586 38901 41379 51868 55172 55921 77802 82758 111842 155604 165516 167763 168571 223684 335526 337142 505713 671052 674284 726973 1011426 1453946 2022852 2180919 2907892 4361838 8723676 13757987 27515974 41273961 55031948 59332181 82547922 118664362 165095844 177996543 178853831 237328724 355993086 357707662 536561493 711986172 715415324 725127607 771318353 1073122986 1450255214 1542636706 2146245972 2175382821 2313955059 2900510428 3085273412 4350765642 4627910118 8701531284 9255820236 9426658891 18853317782 28279976673 37706635564 56559953346 113119906692 769360391027 1538720782054 2308081173081 3077441564108 4616162346162 9232324692324 10001685083351 20003370166702 30005055250053 40006740333404 60010110500106 120020221000212