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10121121001200 = 2435211766751591
BaseRepresentation
bin1001001101001000000111…
…0100100110111011110000
31022211120101022202121212210
42103102001310212323300
52311311023434014300
633305325004252120
72063140546021626
oct223220164467360
938746338677783
1010121121001200
113252385a47a10
12117565ab41040
135855576675c1
1426dc172bd516
1512841852c050
hex93481d26ef0

10121121001200 has 120 divisors (see below), whose sum is σ = 35368717435776. Its totient is φ = 2453605088000.

The previous prime is 10121121001157. The next prime is 10121121001291. The reversal of 10121121001200 is 210012112101.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383362596 + ... + 383388995.

Almost surely, 210121121001200 is an apocalyptic number.

10121121001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121121001200 is an abundant number, since it is smaller than the sum of its proper divisors (25247596434576).

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

10121121001200 is a wasteful number, since it uses less digits than its factorization.

10121121001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766751623 (or 766751612 counting only the distinct ones).

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

Adding to 10121121001200 its reverse (210012112101), we get a palindrome (10331133113301).

The spelling of 10121121001200 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, one thousand, two hundred".

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 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 766751591 1533503182 2300254773 3067006364 3833757955 4600509546 6134012728 7667515910 8434267501 9201019092 11501273865 12268025456 15335031820 16868535002 18402038184 19168789775 23002547730 25302802503 30670063640 33737070004 36804076368 38337579550 42171337505 46005095460 50605605006 57506369325 61340127280 67474140008 76675159100 84342675010 92010190920 101211210012 115012738650 126514012515 134948280016 153350318200 168685350020 184020381840 202422420024 210856687525 230025477300 253028025030 306700636400 337370700040 404844840048 421713375050 460050954600 506056050060 632570062575 674741400080 843426750100 920101909200 1012112100120 1265140125150 1686853500200 2024224200240 2530280250300 3373707000400 5060560500600 10121121001200