Search a number
-
+
121323312211000 = 23534321113371907
BaseRepresentation
bin11011100101011111001000…
…111011010110010000111000
3120220120101200020011111201211
4123211133020323112100320
5111400230120411223000
61110011054334052504
734361214530323354
oct3345371073262070
9526511606144654
10121323312211000
1135725a2293a589
121173532b94a134
13529097c1980b3
1421d6118778464
15e05d6eeac7ba
hex6e57c8ed6438

121323312211000 has 128 divisors (see below), whose sum is σ = 291875589308160. Its totient is φ = 47176084368000.

The previous prime is 121323312210983. The next prime is 121323312211001. The reversal of 121323312211000 is 112213323121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121323312211001) 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, 2387047 + ... + 15758953.

It is an arithmetic number, because the mean of its divisors is an integer number (2280278041470).

Almost surely, 2121323312211000 is an apocalyptic number.

121323312211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121323312211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145937794654080).

121323312211000 is an abundant number, since it is smaller than the sum of its proper divisors (170552277097160).

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

121323312211000 is a wasteful number, since it uses less digits than its factorization.

121323312211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13372182 (or 13372168 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 121323312211000 its reverse (112213323121), we get a palindrome (121435525534121).

The spelling of 121323312211000 in words is "one hundred twenty-one trillion, three hundred twenty-three billion, three hundred twelve million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 211 215 250 344 422 430 500 844 860 1000 1055 1075 1688 1720 2110 2150 4220 4300 5275 5375 8440 8600 9073 10550 10750 18146 21100 21500 26375 36292 42200 43000 45365 52750 72584 90730 105500 181460 211000 226825 362920 453650 907300 1134125 1814600 2268250 4536500 9073000 13371907 26743814 53487628 66859535 106975256 133719070 267438140 334297675 534876280 574992001 668595350 1149984002 1337190700 1671488375 2299968004 2674381400 2821472377 2874960005 3342976750 4599936008 5642944754 5749920010 6685953500 11285889508 11499840020 13371907000 14107361885 14374800025 22571779016 22999680040 28214723770 28749600050 56429447540 57499200100 70536809425 71874000125 112858895080 114998400200 121323312211 141073618850 143748000250 242646624422 282147237700 287496000500 352684047125 485293248844 564294475400 574992001000 606616561055 705368094250 970586497688 1213233122110 1410736188500 2426466244220 2821472377000 3033082805275 4852932488440 6066165610550 12132331221100 15165414026375 24264662442200 30330828052750 60661656105500 121323312211000