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121138762032 = 243541759929
BaseRepresentation
bin111000011010001101…
…1101101000100110000
3102120200100221201100000
41300310123231010300
53441043010341112
6131352252030000
711515634326221
oct1606433550460
9376610851300
10121138762032
1147413744972
121b589162300
13b5670ba262
145c12695248
15323ee467dc
hex1c346ed130

121138762032 has 120 divisors (see below), whose sum is σ = 360152105040. Its totient is φ = 39394667520.

The previous prime is 121138762021. The next prime is 121138762079. The reversal of 121138762032 is 230267831121.

121138762032 is a `hidden beast` number, since 1 + 21 + 1 + 3 + 8 + 7 + 620 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220557 + ... + 539372.

It is an arithmetic number, because the mean of its divisors is an integer number (3001267542).

Almost surely, 2121138762032 is an apocalyptic number.

121138762032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121138762032 is an abundant number, since it is smaller than the sum of its proper divisors (239013343008).

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

121138762032 is an equidigital number, since it uses as much as digits as its factorization.

121138762032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759993 (or 759975 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 121138762032 in words is "one hundred twenty-one billion, one hundred thirty-eight million, seven hundred sixty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 243 246 324 328 369 432 486 492 648 656 738 972 984 1107 1296 1476 1944 1968 2214 2952 3321 3888 4428 5904 6642 8856 9963 13284 17712 19926 26568 39852 53136 79704 159408 759929 1519858 2279787 3039716 4559574 6079432 6839361 9119148 12158864 13678722 18238296 20518083 27357444 31157089 36476592 41036166 54714888 61554249 62314178 82072332 93471267 109429776 123108498 124628356 164144664 184662747 186942534 246216996 249256712 280413801 328289328 369325494 373885068 492433992 498513424 560827602 738650988 747770136 841241403 984867984 1121655204 1477301976 1495540272 1682482806 2243310408 2523724209 2954603952 3364965612 4486620816 5047448418 6729931224 7571172627 10094896836 13459862448 15142345254 20189793672 30284690508 40379587344 60569381016 121138762032