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121120012002 = 231129716011483
BaseRepresentation
bin111000011001101010…
…0001011011011100010
3102120122001200010010110
41300303110023123202
53441023210341002
6131350342112150
711515316054343
oct1606324133342
9376561603113
10121120012002
11474040a8780
121b582a1b656
13b563253a72
145c0ddb40ca
15323d490e6c
hex1c3350b6e2

121120012002 has 128 divisors (see below), whose sum is σ = 277873182720. Its totient is φ = 34856640000.

The previous prime is 121120012001. The next prime is 121120012007. The reversal of 121120012002 is 200210021121.

It is not an unprimeable number, because it can be changed into a prime (121120012001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81671553 + ... + 81673035.

It is an arithmetic number, because the mean of its divisors is an integer number (2170884240).

Almost surely, 2121120012002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121120012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138936591360).

121120012002 is an abundant number, since it is smaller than the sum of its proper divisors (156753170718).

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

121120012002 is a wasteful number, since it uses less digits than its factorization.

121120012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121120012002 its reverse (200210021121), we get a palindrome (321330033123).

The spelling of 121120012002 in words is "one hundred twenty-one billion, one hundred twenty million, twelve thousand, two".

Divisors: 1 2 3 6 11 22 29 33 58 66 71 87 142 174 213 319 426 601 638 781 957 1202 1483 1562 1803 1914 2059 2343 2966 3606 4118 4449 4686 6177 6611 8898 12354 13222 16313 17429 19833 22649 32626 34858 39666 42671 43007 45298 48939 52287 67947 85342 86014 97878 104574 105293 128013 129021 135894 191719 210586 256026 258042 315879 383438 469381 473077 575157 631758 891283 938762 946154 1150314 1158223 1237459 1408143 1419231 1782566 2316446 2474918 2673849 2816286 2838462 3053497 3474669 3712377 5347698 6106994 6949338 7424754 9160491 9804113 13612049 18320982 19608226 25847207 27224098 29412339 33588467 40836147 51694414 58824678 63281093 67176934 77541621 81672294 100765401 126562186 155083242 189843279 201530802 284319277 379686558 568638554 696092023 852957831 1392184046 1705915662 1835151697 2088276069 3670303394 4176552138 5505455091 11010910182 20186668667 40373337334 60560006001 121120012002