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12001121212290 = 235757148196249
BaseRepresentation
bin1010111010100011101010…
…0100010001011110000010
31120111021222202211120220120
42232220322210101132002
53033111244012243130
641305123341321110
72346023654114010
oct256507244213602
946437882746816
1012001121212290
113907713068231
121419a93266196
13690915a89702
142d6c0087d8b0
1515c29b596910
hexaea3a911782

12001121212290 has 32 divisors (see below), whose sum is σ = 32917361040000. Its totient is φ = 2743113419904.

The previous prime is 12001121212277. The next prime is 12001121212291. The reversal of 12001121212290 is 9221212110021.

It is a super-3 number, since 3×120011212122903 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12001121212290.

It is not an unprimeable number, because it can be changed into a prime (12001121212291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28574097915 + ... + 28574098334.

It is an arithmetic number, because the mean of its divisors is an integer number (1028667532500).

Almost surely, 212001121212290 is an apocalyptic number.

12001121212290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001121212290 is an abundant number, since it is smaller than the sum of its proper divisors (20916239827710).

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

12001121212290 is a wasteful number, since it uses less digits than its factorization.

12001121212290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57148196266.

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 12001121212290 in words is "twelve trillion, one billion, one hundred twenty-one million, two hundred twelve thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 57148196249 114296392498 171444588747 285740981245 342889177494 400037373743 571481962490 800074747486 857222943735 1200112121229 1714445887470 2000186868715 2400224242458 4000373737430 6000560606145 12001121212290