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120021201006 = 23741383181981
BaseRepresentation
bin110111111000111010…
…0100011000001101110
3102110210111001201210220
41233301310203001232
53431300411413011
6131045330512210
711446144242630
oct1576164430156
9373714051726
10120021201006
114699a925813
121b316a35666
13b4196cb345
145b480a4a50
1531c6c92506
hex1bf1d2306e

120021201006 has 64 divisors (see below), whose sum is σ = 281760546816. Its totient is φ = 33367852800.

The previous prime is 120021200983. The next prime is 120021201007. The reversal of 120021201006 is 600102120021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021201007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568536 + ... + 750516.

It is an arithmetic number, because the mean of its divisors is an integer number (4402508544).

Almost surely, 2120021201006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120021201006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140880273408).

120021201006 is an abundant number, since it is smaller than the sum of its proper divisors (161739345810).

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

120021201006 is a wasteful number, since it uses less digits than its factorization.

120021201006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182417.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120021201006 its reverse (600102120021), we get a palindrome (720123321027).

The spelling of 120021201006 in words is "one hundred twenty billion, twenty-one million, two hundred one thousand, six".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 383 574 766 861 1149 1722 2298 2681 5362 8043 15703 16086 31406 47109 94218 109921 181981 219842 329763 363962 545943 659526 1091886 1273867 2547734 3821601 7461221 7643202 14922442 22383663 44767326 52228547 69698723 104457094 139397446 156685641 209096169 313371282 418192338 487891061 975782122 1463673183 2857647643 2927346366 5715295286 8572942929 17145885858 20003533501 40007067002 60010600503 120021201006