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12001121002010 = 2572940471146077
BaseRepresentation
bin1010111010100011101010…
…0011011110001000011010
31120111021222202102220110102
42232220322203132020122
53033111243434031020
641305123333015402
72346023652246650
oct256507243361032
946437882386412
1012001121002010
113907712a34248
121419a93184562
13690915a14a9a
142d6c00826dd0
1515c29b554475
hexaea3a8de21a

12001121002010 has 64 divisors (see below), whose sum is σ = 25540137285120. Its totient is φ = 3972659523840.

The previous prime is 12001121002007. The next prime is 12001121002027. The reversal of 12001121002010 is 1020012110021.

12001121002010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12001121001982 and 12001121002000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82083092 + ... + 82229168.

It is an arithmetic number, because the mean of its divisors is an integer number (399064645080).

Almost surely, 212001121002010 is an apocalyptic number.

12001121002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001121002010 is an abundant number, since it is smaller than the sum of its proper divisors (13539016283110).

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

12001121002010 is a wasteful number, since it uses less digits than its factorization.

12001121002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186591.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12001121002010 its reverse (1020012110021), we get a palindrome (13021133112031).

The spelling of 12001121002010 in words is "twelve trillion, one billion, one hundred twenty-one million, two thousand, ten".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 290 406 1015 2030 40471 80942 146077 202355 283297 292154 404710 566594 730385 1022539 1173659 1416485 1460770 2045078 2347318 2832970 4236233 5112695 5868295 8215613 8472466 10225390 11736590 16431226 21181165 29653631 41078065 42362330 59307262 82156130 148268155 296536310 5911882267 11823764534 29559411335 41383175869 59118822670 82766351738 171444585743 206915879345 342889171486 413831758690 857222928715 1200112100201 1714445857430 2400224200402 6000560501005 12001121002010