Search a number
-
+
121211220121020 = 2232523103284253131
BaseRepresentation
bin11011100011110110101111…
…101101111101010110111100
3120220011200100100010100102200
4123203312233231331112330
5111341411034322333040
61105443355451351500
734350136013302251
oct3343665755752674
9526150310110380
10121211220121020
1135692431874297
1211717668452590
13528322741c833
1421d09237a7428
15e02eae3b1630
hex6e3dafb7d5bc

121211220121020 has 144 divisors (see below), whose sum is σ = 387384716339712. Its totient is φ = 30617473138560.

The previous prime is 121211220121009. The next prime is 121211220121027. The reversal of 121211220121020 is 20121022112121.

121211220121020 is a `hidden beast` number, since 1 + 2 + 1 + 211 + 220 + 1 + 210 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121211220120984 and 121211220121002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121211220121027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141700146 + ... + 142552985.

It is an arithmetic number, because the mean of its divisors is an integer number (2690171641248).

Almost surely, 2121211220121020 is an apocalyptic number.

121211220121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121211220121020 is an abundant number, since it is smaller than the sum of its proper divisors (266173496218692).

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

121211220121020 is a wasteful number, since it uses less digits than its factorization.

121211220121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284253272 (or 284253267 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121211220121020 its reverse (20121022112121), we get a palindrome (141332242233141).

The spelling of 121211220121020 in words is "one hundred twenty-one trillion, two hundred eleven billion, two hundred twenty million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 103 115 138 180 206 207 230 276 309 345 412 414 460 515 618 690 828 927 1030 1035 1236 1380 1545 1854 2060 2070 2369 3090 3708 4140 4635 4738 6180 7107 9270 9476 11845 14214 18540 21321 23690 28428 35535 42642 47380 71070 85284 106605 142140 213210 426420 284253131 568506262 852759393 1137012524 1421265655 1705518786 2558278179 2842531310 3411037572 4263796965 5116556358 5685062620 6537822013 8527593930 10233112716 12791390895 13075644026 17055187860 19613466039 25582781790 26151288052 29278072493 32689110065 39226932078 51165563580 58556144986 58840398117 65378220130 78453864156 87834217479 98067330195 117112289972 117680796234 130756440260 146390362465 175668434958 196134660390 235361592468 263502652437 292780724930 294201990585 351336869916 392269320780 439171087395 527005304874 585561449860 588403981170 673395667339 878342174790 1054010609748 1176807962340 1317513262185 1346791334678 1756684349580 2020187002017 2635026524370 2693582669356 3366978336695 4040374004034 5270053048740 6060561006051 6733956673390 8080748008068 10100935010085 12121122012102 13467913346780 20201870020170 24242244024204 30302805030255 40403740040340 60605610060510 121211220121020