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121011002202012 = 223132137435548317
BaseRepresentation
bin11011100000111100010001…
…110011001101011110011100
3120212110112112210210020020220
4123200330101303031132130
5111330121013030431022
61105211404214441340
734326520305126666
oct3340742163153634
9525415483706226
10121011002202012
1135615528aa133a
12116a48ab963250
13526a399c11200
1421c4d6c79b536
15decb91c4385c
hex6e0f11ccd79c

121011002202012 has 72 divisors (see below), whose sum is σ = 307981442237616. Its totient is φ = 36962372289024.

The previous prime is 121011002202011. The next prime is 121011002202019. The reversal of 121011002202012 is 210202200110121.

It is a super-2 number, since 2×1210110022020122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121011002201982 and 121011002202000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121011002202011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217496323 + ... + 218051994.

It is an arithmetic number, because the mean of its divisors is an integer number (4277520031078).

Almost surely, 2121011002202012 is an apocalyptic number.

121011002202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121011002202012 is an abundant number, since it is smaller than the sum of its proper divisors (186970440035604).

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

121011002202012 is a wasteful number, since it uses less digits than its factorization.

121011002202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435548487 (or 435548472 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121011002202012 its reverse (210202200110121), we get a palindrome (331213202312133).

The spelling of 121011002202012 in words is "one hundred twenty-one trillion, eleven billion, two million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 137 156 169 274 338 411 507 548 676 822 1014 1644 1781 2028 3562 5343 7124 10686 21372 23153 46306 69459 92612 138918 277836 435548317 871096634 1306644951 1742193268 2613289902 5226579804 5662128121 11324256242 16986384363 22648512484 33972768726 59670119429 67945537452 73607665573 119340238858 147215331146 179010358287 220822996719 238680477716 294430662292 358020716574 441645993438 716041433148 775711552577 883291986876 1551423105154 2327134657731 3102846210308 4654269315462 9308538630924 10084250183501 20168500367002 30252750550503 40337000734004 60505501101006 121011002202012