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121121111102200 = 235211231161451761
BaseRepresentation
bin11011100010100010110100…
…110011010101001011111000
3120212212001202111002220121021
4123202202310303111023320
5111333422013420232300
61105334134214352224
734340466021261466
oct3342426463251370
9525761674086537
10121121111102200
11356581a1661800
12117020bb05b674
135277896b499a1
1421ca41620b836
15e0098869cd1a
hex6e28b4cd52f8

121121111102200 has 144 divisors (see below), whose sum is σ = 319519495068480. Its totient is φ = 42623264640000.

The previous prime is 121121111102177. The next prime is 121121111102267. The reversal of 121121111102200 is 2201111121121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79975681 + ... + 81476080.

It is an arithmetic number, because the mean of its divisors is an integer number (2218885382420).

Almost surely, 2121121111102200 is an apocalyptic number.

121121111102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121121111102200 is an abundant number, since it is smaller than the sum of its proper divisors (198398383966280).

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

121121111102200 is a wasteful number, since it uses less digits than its factorization.

121121111102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161451830 (or 161451810 counting only the distinct ones).

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

Adding to 121121111102200 its reverse (2201111121121), we get a palindrome (123322222223321).

The spelling of 121121111102200 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred eleven million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 121 124 155 200 220 242 248 275 310 341 440 484 550 605 620 682 775 968 1100 1210 1240 1364 1550 1705 2200 2420 2728 3025 3100 3410 3751 4840 6050 6200 6820 7502 8525 12100 13640 15004 17050 18755 24200 30008 34100 37510 68200 75020 93775 150040 187550 375100 750200 161451761 322903522 645807044 807258805 1291614088 1614517610 1775969371 3229035220 3551938742 4036294025 5005004591 6458070440 7103877484 8072588050 8879846855 10010009182 14207754968 16145176100 17759693710 19535663081 20020018364 25025022955 32290352200 35519387420 39071326162 40040036728 44399234275 50050045910 55055050501 71038774840 78142652324 88798468550 97678315405 100100091820 110110101002 125125114775 156285304648 177596937100 195356630810 200200183640 220220202004 250250229550 275275252505 355193874200 390713261620 440440404008 488391577025 500500459100 550550505010 605605555511 781426523240 976783154050 1001000918200 1101101010020 1211211111022 1376376262525 1953566308100 2202202020040 2422422222044 2752752525050 3028027777555 3907132616200 4844844444088 5505505050100 6056055555110 11011010100200 12112111110220 15140138887775 24224222220440 30280277775550 60560555551100 121121111102200