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121120000011 = 321723173198953
BaseRepresentation
bin111000011001101010…
…0001000100000001011
3102120122001122111200100
41300303110020200023
53441023210000021
6131350341540443
711515316004363
oct1606324104013
9376561574610
10121120000011
114740409a76a
121b582a14723
13b56324b47a
145c0ddad9a3
15323d48c626
hex1c3350880b

121120000011 has 48 divisors (see below), whose sum is σ = 194414665536. Its totient is φ = 72272099328.

The previous prime is 121119999989. The next prime is 121120000039. The reversal of 121120000011 is 110000021121.

It is a happy number.

It is not a de Polignac number, because 121120000011 - 217 = 121119868939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121119999948 and 121120000002.

It is not an unprimeable number, because it can be changed into a prime (121120000061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509311 + ... + 708263.

It is an arithmetic number, because the mean of its divisors is an integer number (4050305532).

Almost surely, 2121120000011 is an apocalyptic number.

121120000011 is a deficient number, since it is larger than the sum of its proper divisors (73294665525).

121120000011 is a wasteful number, since it uses less digits than its factorization.

121120000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199172 (or 199169 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121120000011 its reverse (110000021121), we get a palindrome (231120021132).

The spelling of 121120000011 in words is "one hundred twenty-one billion, one hundred twenty million, eleven", and thus it is an aban number.

Divisors: 1 3 9 17 23 51 69 153 173 207 391 519 1173 1557 2941 3519 3979 8823 11937 26469 35811 67643 198953 202929 596859 608787 1790577 3382201 4575919 10146603 13727757 30439809 34418869 41183271 77790623 103256607 233371869 309769821 585120773 700115607 791633987 1755362319 2374901961 5266086957 7124705883 13457777779 40373333337 121120000011