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121011221100 = 223527115238581
BaseRepresentation
bin111000010110011010…
…1001011001001101100
3102120100110221222001210
41300230311023021230
53440312333033400
6131331454234420
711512525256610
oct1605465131154
9376313858053
10121011221100
1147358752540
121b5524b5a10
13b546852b53
145bdd775340
153233b51950
hex1c2cd4b26c

121011221100 has 144 divisors (see below), whose sum is σ = 436520560896. Its totient is φ = 25145184000.

The previous prime is 121011221081. The next prime is 121011221117. The reversal of 121011221100 is 1122110121.

121011221100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1210112211002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2596191 + ... + 2642390.

It is an arithmetic number, because the mean of its divisors is an integer number (3031392784).

Almost surely, 2121011221100 is an apocalyptic number.

121011221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121011221100 is an abundant number, since it is smaller than the sum of its proper divisors (315509339796).

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

121011221100 is a wasteful number, since it uses less digits than its factorization.

121011221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5238616 (or 5238609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121011221100 its reverse (1122110121), we get a palindrome (122133331221).

The spelling of 121011221100 in words is "one hundred twenty-one billion, eleven million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 5238581 10477162 15715743 20954324 26192905 31431486 36670067 52385810 57624391 62862972 73340134 78578715 104771620 110010201 115248782 130964525 146680268 157157430 172873173 183350335 220020402 230497564 261929050 288121955 314314860 345746346 366700670 392893575 403370737 440040804 523858100 550051005 576243910 691492692 733401340 785787150 806741474 864365865 916751675 1100102010 1152487820 1210112211 1440609775 1571574300 1613482948 1728731730 1833503350 2016853685 2200204020 2420224422 2750255025 2881219550 3457463460 3667006700 4033707370 4321829325 4840448844 5500510050 5762439100 6050561055 8067414740 8643658650 10084268425 11001020100 12101122110 17287317300 20168536850 24202244220 30252805275 40337073700 60505610550 121011221100