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120211011020001 = 3111710113731545217
BaseRepresentation
bin11011010101010011001110…
…100111000010010011100001
3120202122001122001020111021110
4123111103032213002103201
5111224014122310120001
61103400102011213533
734214646626232246
oct3325231647022341
9522561561214243
10120211011020001
113533722690a740
12115958484472a9
13520cb07a313a5
14219835b68d5cd
15dd6e6e5e43d6
hex6d54ce9c24e1

120211011020001 has 64 divisors (see below), whose sum is σ = 187107159396096. Its totient is φ = 67841163264000.

The previous prime is 120211011019997. The next prime is 120211011020011. The reversal of 120211011020001 is 100020110112021.

It is not a de Polignac number, because 120211011020001 - 22 = 120211011019997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120211011020011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77022945 + ... + 78568161.

It is an arithmetic number, because the mean of its divisors is an integer number (2923549365564).

Almost surely, 2120211011020001 is an apocalyptic number.

120211011020001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120211011020001 is a deficient number, since it is larger than the sum of its proper divisors (66896148376095).

120211011020001 is a wasteful number, since it uses less digits than its factorization.

120211011020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546722.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120211011020001 its reverse (100020110112021), we get a palindrome (220231121132022).

The spelling of 120211011020001 in words is "one hundred twenty trillion, two hundred eleven billion, eleven million, twenty thousand, one".

Divisors: 1 3 11 17 33 51 101 187 303 561 1111 1373 1717 3333 4119 5151 15103 18887 23341 45309 56661 70023 138673 256751 416019 770253 1525403 1545217 2357441 4576209 4635651 7072323 16997387 25931851 26268689 50992161 77795553 78806067 156066917 288955579 468200751 866866737 1716736087 2121582941 2653137589 5150208261 6364748823 7959412767 23337412351 29184513479 36066909997 70012237053 87553540437 108200729991 214279877041 396736009967 642839631123 1190208029901 2357078647451 3642757909697 7071235942353 10928273729091 40070337006667 120211011020001