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1000121113200 = 243521175766751
BaseRepresentation
bin11101000110110111101…
…11010001101001110000
310112121111011022121120010
432203123313101221300
5112341222001110300
62043241014214520
7132153635124516
oct16433367215160
93477434277503
101000121113200
11356170328050
121419b6654440
13734073c2361
14365985724b6
151b0371dba50
hexe8dbdd1a70

1000121113200 has 120 divisors (see below), whose sum is σ = 3494968736256. Its totient is φ = 242453600000.

The previous prime is 1000121113171. The next prime is 1000121113237. The reversal of 1000121113200 is 23111210001.

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, 37870176 + ... + 37896575.

Almost surely, 21000121113200 is an apocalyptic number.

1000121113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000121113200 is an abundant number, since it is smaller than the sum of its proper divisors (2494847623056).

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

1000121113200 is a wasteful number, since it uses less digits than its factorization.

1000121113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75766783 (or 75766772 counting only the distinct ones).

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

Adding to 1000121113200 its reverse (23111210001), we get a palindrome (1023232323201).

The spelling of 1000121113200 in words is "one trillion, one hundred twenty-one million, one hundred thirteen 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 75766751 151533502 227300253 303067004 378833755 454600506 606134008 757667510 833434261 909201012 1136501265 1212268016 1515335020 1666868522 1818402024 1894168775 2273002530 2500302783 3030670040 3333737044 3636804048 3788337550 4167171305 4546005060 5000605566 5682506325 6061340080 6667474088 7576675100 8334342610 9092010120 10001211132 11365012650 12501513915 13334948176 15153350200 16668685220 18184020240 20002422264 20835856525 22730025300 25003027830 30306700400 33337370440 40004844528 41671713050 45460050600 50006055660 62507569575 66674740880 83343426100 90920101200 100012111320 125015139150 166686852200 200024222640 250030278300 333373704400 500060556600 1000121113200