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121002002010 = 23355967113371
BaseRepresentation
bin111000010110001001…
…0000000011001011010
3102120022211121120212000
41300230102000121122
53440303003031020
6131330524501430
711512354022031
oct1605422003132
9376284546760
10121002002010
114735352605a
121b54b3aa876
13b544975876
145bdc455718
153232e30090
hex1c2c48065a

121002002010 has 128 divisors (see below), whose sum is σ = 333041587200. Its totient is φ = 31246585920.

The previous prime is 121002001937. The next prime is 121002002027. The reversal of 121002002010 is 10200200121.

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 = 121002001983 and 121002002001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1010625 + ... + 1123995.

It is an arithmetic number, because the mean of its divisors is an integer number (2601887400).

Almost surely, 2121002002010 is an apocalyptic number.

121002002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166520793600).

121002002010 is an abundant number, since it is smaller than the sum of its proper divisors (212039585190).

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

121002002010 is a wasteful number, since it uses less digits than its factorization.

121002002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113513 (or 113507 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121002002010 its reverse (10200200121), we get a palindrome (131202202131).

The spelling of 121002002010 in words is "one hundred twenty-one billion, two million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 67 90 118 134 135 177 201 270 295 335 354 402 531 590 603 670 885 1005 1062 1206 1593 1770 1809 2010 2655 3015 3186 3618 3953 5310 6030 7906 7965 9045 11859 15930 18090 19765 23718 35577 39530 59295 71154 106731 113371 118590 177885 213462 226742 340113 355770 533655 566855 680226 1020339 1067310 1133710 1700565 2040678 3061017 3401130 5101695 6122034 6688889 7595857 10203390 13377778 15191714 15305085 20066667 22787571 30610170 33444445 37979285 40133334 45575142 60200001 66888890 68362713 75958570 100333335 113937855 120400002 136725426 180600003 200666670 205088139 227875710 301000005 341813565 361200006 410176278 448155563 602000010 683627130 896311126 903000015 1025440695 1344466689 1806000030 2050881390 2240777815 2688933378 4033400067 4481555630 6722333445 8066800134 12100200201 13444666890 20167000335 24200400402 40334000670 60501001005 121002002010