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121294900636 = 227132335940357
BaseRepresentation
bin111000011110110111…
…1010100110110011100
3102121002020202101020021
41300331233110312130
53441402443310021
6131415550401524
711522541433630
oct1607557246634
9377066671207
10121294900636
114749389a138
121b6115002a4
13b590558270
145c292dadc0
15324d9d9c41
hex1c3dbd4d9c

121294900636 has 96 divisors (see below), whose sum is σ = 273375406080. Its totient is φ = 45769515264.

The previous prime is 121294900633. The next prime is 121294900667. The reversal of 121294900636 is 636009492121.

It is a super-2 number, since 2×1212949006362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121294900592 and 121294900601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121294900633) 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, 2985370 + ... + 3025726.

It is an arithmetic number, because the mean of its divisors is an integer number (2847660480).

Almost surely, 2121294900636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121294900636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136687703040).

121294900636 is an abundant number, since it is smaller than the sum of its proper divisors (152080505444).

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

121294900636 is a wasteful number, since it uses less digits than its factorization.

121294900636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40763 (or 40761 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 121294900636 in words is "one hundred twenty-one billion, two hundred ninety-four million, nine hundred thousand, six hundred thirty-six".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 359 364 598 644 718 1196 1436 2093 2513 4186 4667 5026 8257 8372 9334 10052 16514 18668 32669 33028 40357 57799 65338 80714 107341 115598 130676 161428 214682 231196 282499 429364 524641 564998 751387 928211 1049282 1129996 1502774 1856422 2098564 3005548 3672487 3712844 6497477 7344974 12066743 12994954 14488163 14689948 24133486 25989908 28976326 48266972 57952652 84467201 101417141 168934402 188346119 202834282 333227749 337868804 376692238 405668564 666455498 753384476 1318422833 1332910996 2332594243 2636845666 4331960737 4665188486 5273691332 8663921474 9330376972 17327842948 30323725159 60647450318 121294900636