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121100120000000 = 29573027503
BaseRepresentation
bin11011100010001111010001…
…101000101000011000000000
3120212210001120120122102201122
4123202033101220220120000
5111333101021210000000
61105320343242251412
734336123602663011
oct3342172150503000
9525701516572648
10121100120000000
113564a2aa736a59
12116ba0211b6b68
13527590002bb5b
1421c93c4453008
15e0015a90c085
hex6e23d1a28600

121100120000000 has 160 divisors (see below), whose sum is σ = 302453971028352. Its totient is φ = 48440032000000.

The previous prime is 121100119999987. The next prime is 121100120000039. The reversal of 121100120000000 is 21001121.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38486249 + ... + 41513751.

Almost surely, 2121100120000000 is an apocalyptic number.

121100120000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121100120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151226985514176).

121100120000000 is an abundant number, since it is smaller than the sum of its proper divisors (181353851028352).

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

121100120000000 is an frugal number, since it uses more digits than its factorization.

121100120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027556 (or 3027510 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 121100120000000 its reverse (21001121), we get a palindrome (121100141001121).

The spelling of 121100120000000 in words is "one hundred twenty-one trillion, one hundred billion, one hundred twenty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 31250 32000 40000 50000 62500 64000 78125 80000 100000 125000 156250 160000 200000 250000 312500 320000 400000 500000 625000 800000 1000000 1250000 1600000 2000000 2500000 3027503 4000000 5000000 6055006 8000000 10000000 12110012 15137515 20000000 24220024 30275030 40000000 48440048 60550060 75687575 96880096 121100120 151375150 193760192 242200240 302750300 378437875 387520384 484400480 605500600 756875750 775040768 968800960 1211001200 1513751500 1550081536 1892189375 1937601920 2422002400 3027503000 3784378750 3875203840 4844004800 6055006000 7568757500 7750407680 9460946875 9688009600 12110012000 15137515000 18921893750 19376019200 24220024000 30275030000 37843787500 38752038400 47304734375 48440048000 60550060000 75687575000 94609468750 96880096000 121100120000 151375150000 189218937500 193760192000 236523671875 242200240000 302750300000 378437875000 473047343750 484400480000 605500600000 756875750000 946094687500 968800960000 1211001200000 1513751500000 1892189375000 2422002400000 3027503000000 3784378750000 4844004800000 6055006000000 7568757500000 12110012000000 15137515000000 24220024000000 30275030000000 60550060000000 121100120000000