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12011021112120 = 2335907110354843
BaseRepresentation
bin1010111011001000100010…
…1001011001001100111000
31120112020112201020121102020
42232302020221121030320
53033242032401041440
641313441550434440
72346524204635512
oct256621051311470
946466481217366
1012011021112120
113910933322528
12141b996802a20
13691832ac98c4
142d749d5c6bb2
1515c67a7803d0
hexaec88a59338

12011021112120 has 64 divisors (see below), whose sum is σ = 36072791406720. Its totient is φ = 3199407579264.

The previous prime is 12011021112107. The next prime is 12011021112133. The reversal of 12011021112120 is 2121112011021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12011021112107) and next prime (12011021112133).

It is a super-2 number, since 2×120110211121202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12011021112120.

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, 55068582 + ... + 55286261.

It is an arithmetic number, because the mean of its divisors is an integer number (563637365730).

Almost surely, 212011021112120 is an apocalyptic number.

12011021112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011021112120 is an abundant number, since it is smaller than the sum of its proper divisors (24061770294600).

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

12011021112120 is a wasteful number, since it uses less digits than its factorization.

12011021112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110355764 (or 110355760 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12011021112120 its reverse (2121112011021), we get a palindrome (14132133123141).

The spelling of 12011021112120 in words is "twelve trillion, eleven billion, twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 907 1814 2721 3628 4535 5442 7256 9070 10884 13605 18140 21768 27210 36280 54420 108840 110354843 220709686 331064529 441419372 551774215 662129058 882838744 1103548430 1324258116 1655322645 2207096860 2648516232 3310645290 4414193720 6621290580 13242581160 100091842601 200183685202 300275527803 400367370404 500459213005 600551055606 800734740808 1000918426010 1201102111212 1501377639015 2001836852020 2402204222424 3002755278030 4003673704040 6005510556060 12011021112120