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121001332230 = 232519383318461
BaseRepresentation
bin111000010110000111…
…1011100111000000110
3102120022210100120002100
41300230033130320012
53440302320112410
6131330502252530
711512345232232
oct1605417347006
9376283316070
10121001332230
1147353108919
121b54b127146
13b54479ca4c
145bdc31d5c2
153232d4b8c0
hex1c2c3dce06

121001332230 has 96 divisors (see below), whose sum is σ = 331265881440. Its totient is φ = 30559127040.

The previous prime is 121001332219. The next prime is 121001332241. The reversal of 121001332230 is 32233100121.

121001332230 is a `hidden beast` number, since 1 + 2 + 100 + 1 + 332 + 230 = 666.

It is an interprime number because it is at equal distance from previous prime (121001332219) and next prime (121001332241).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6545200 + ... + 6563660.

It is an arithmetic number, because the mean of its divisors is an integer number (3450686265).

Almost surely, 2121001332230 is an apocalyptic number.

121001332230 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 121001332230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165632940720).

121001332230 is an abundant number, since it is smaller than the sum of its proper divisors (210264549210).

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

121001332230 is a wasteful number, since it uses less digits than its factorization.

121001332230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22326 (or 22323 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121001332230 its reverse (32233100121), we get a palindrome (153234432351).

The spelling of 121001332230 in words is "one hundred twenty-one billion, one million, three hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 3833 7666 11499 18461 19165 22998 34497 36922 38330 55383 57495 68994 72827 92305 110766 114990 145654 166149 172485 184610 218481 276915 332298 344970 350759 364135 436962 553830 655443 701518 728270 830745 1052277 1092405 1310886 1661490 1753795 2104554 2184810 3156831 3277215 3507590 5261385 6313662 6554430 10522770 15784155 31568310 70761013 141522026 212283039 353805065 424566078 636849117 707610130 1061415195 1273698234 1344459247 2122830390 2688918494 3184245585 4033377741 6368491170 6722296235 8066755482 12100133223 13444592470 20166888705 24200266446 40333777410 60500666115 121001332230