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121120022020300 = 22527942155765381
BaseRepresentation
bin11011100010100001110011…
…111000110100000011001100
3120212211221221120210211002121
4123202201303320310003030
5111333412301114122200
61105333434151502324
734340430025240552
oct3342416370640314
9525757846724077
10121120022020300
1135657792924416
1211701a563879a4
13527775231c724
1421ca351711bd2
15e00922c71e1a
hex6e2873e340cc

121120022020300 has 144 divisors (see below), whose sum is σ = 267272682203520. Its totient is φ = 47634717312000.

The previous prime is 121120022020289. The next prime is 121120022020331. The reversal of 121120022020300 is 3020220021121.

It is a happy number.

It is a super-2 number, since 2×1211200220203002 (a number of 29 digits) contains 22 as substring.

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, 1852493610 + ... + 1852558990.

It is an arithmetic number, because the mean of its divisors is an integer number (1856060293080).

Almost surely, 2121120022020300 is an apocalyptic number.

121120022020300 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 121120022020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133636341101760).

121120022020300 is an abundant number, since it is smaller than the sum of its proper divisors (146152660183220).

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

121120022020300 is a wasteful number, since it uses less digits than its factorization.

121120022020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66452 (or 66445 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 121120022020300 its reverse (3020220021121), we get a palindrome (124140242041421).

The spelling of 121120022020300 in words is "one hundred twenty-one trillion, one hundred twenty billion, twenty-two million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 421 557 790 842 1114 1580 1684 1975 2105 2228 2785 3950 4210 5570 7900 8420 10525 11140 13925 21050 27850 33259 42100 44003 55700 65381 66518 88006 130762 133036 166295 176012 220015 234497 261524 326905 332590 440030 468994 653810 665180 831475 880060 937988 1100075 1172485 1307620 1634525 1662950 2200150 2344970 3269050 3325900 4400300 4689940 5165099 5862425 6538100 10330198 11724850 18525263 20660396 23449700 25825495 27525401 36417217 37050526 51650990 55050802 72834434 74101052 92626315 103301980 110101604 129127475 137627005 145668868 182086085 185252630 258254950 275254010 364172170 370505260 463131575 516509900 550508020 688135025 728344340 910430425 926263150 1376270050 1820860850 1852526300 2174506679 2752540100 2876960143 3641721700 4349013358 5753920286 8698026716 10872533395 11507840572 14384800715 15331648357 21745066790 28769601430 30663296714 43490133580 54362666975 57539202860 61326593428 71924003575 76658241785 108725333950 143848007150 153316483570 217450667900 287696014300 306632967140 383291208925 766582417850 1211200220203 1533164835700 2422400440406 4844800880812 6056001101015 12112002202030 24224004404060 30280005505075 60560011010150 121120022020300