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10121111022000 = 2435311153350167
BaseRepresentation
bin1001001101001000000100…
…1110100010100110110000
31022211120100121222121222210
42103102001032202212300
52311311013410201000
633305324010332120
72063140365140016
oct223220116424660
938746317877883
1010121111022000
113252380351440
12117565772a040
13585555582354
1426dc15c428b6
1512841770a350
hex934813a29b0

10121111022000 has 160 divisors (see below), whose sum is σ = 35596867797504. Its totient is φ = 2453602656000.

The previous prime is 10121111021999. The next prime is 10121111022007. The reversal of 10121111022000 is 22011112101.

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

It is not an unprimeable number, because it can be changed into a prime (10121111022007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 76609084 + ... + 76741083.

Almost surely, 210121111022000 is an apocalyptic number.

10121111022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121111022000 is an abundant number, since it is smaller than the sum of its proper divisors (25475756775504).

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

10121111022000 is a wasteful number, since it uses less digits than its factorization.

10121111022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153350204 (or 153350188 counting only the distinct ones).

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

Adding to 10121111022000 its reverse (22011112101), we get a palindrome (10143122134101).

The spelling of 10121111022000 in words is "ten trillion, one hundred twenty-one billion, one hundred eleven million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 153350167 306700334 460050501 613400668 766750835 920101002 1226801336 1533501670 1686851837 1840202004 2300252505 2453602672 3067003340 3373703674 3680404008 3833754175 4600505010 5060555511 6134006680 6747407348 7360808016 7667508350 8434259185 9201010020 10121111022 11501262525 12268013360 13494814696 15335016700 16868518370 18402020040 19168770875 20242222044 23002525050 25302777555 26989629392 30670033400 33737036740 36804040080 38337541750 40484444088 42171295925 46005050100 50605555110 57506312625 61340066800 67474073480 76675083500 80968888176 84342591850 92010100200 101211110220 115012625250 126513887775 134948146960 153350167000 168685183700 184020200400 202422220440 210856479625 230025250500 253027775550 306700334000 337370367400 404844440880 421712959250 460050501000 506055551100 632569438875 674740734800 843425918500 920101002000 1012111102200 1265138877750 1686851837000 2024222204400 2530277755500 3373703674000 5060555511000 10121111022000