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102122210120000 = 26547364722179
BaseRepresentation
bin10111001110000100101110…
…000011101101000101000000
3111101120210021102001201102112
4113032010232003231011000
5101341132241242320000
61001110143510434452
730340041365421260
oct2716045603550500
9441523242051375
10102122210120000
112a5a2871323a34
12b553b75662a28
1344ca11072a395
141b30a5435b7a0
15bc16767bd235
hex5ce12e0ed140

102122210120000 has 140 divisors (see below), whose sum is σ = 289405590941280. Its totient is φ = 35013329088000.

The previous prime is 102122210119907. The next prime is 102122210120023. The reversal of 102122210120000 is 21012221201.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 182081090 + ... + 182641089.

Almost surely, 2102122210120000 is an apocalyptic number.

102122210120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122210120000 is an abundant number, since it is smaller than the sum of its proper divisors (187283380821280).

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

102122210120000 is an frugal number, since it uses more digits than its factorization.

102122210120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364722218 (or 364722193 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102122210120000 its reverse (21012221201), we get a palindrome (102143222341201).

The spelling of 102122210120000 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred ten million, one hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 14000 17500 20000 28000 35000 40000 56000 70000 140000 280000 364722179 729444358 1458888716 1823610895 2553055253 2917777432 3647221790 5106110506 5835554864 7294443580 9118054475 10212221012 11671109728 12765276265 14588887160 18236108950 20424442024 23342219456 25530552530 29177774320 36472217900 40848884048 45590272375 51061105060 58355548640 63826381325 72944435800 81697768096 91180544750 102122210120 116711097280 127652762650 145888871600 163395536192 182361089500 204244420240 227951361875 255305525300 291777743200 319131906625 364722179000 408488840480 455902723750 510611050600 583555486400 638263813250 729444358000 816977680960 911805447500 1021222101200 1276527626500 1458888716000 1595659533125 1823610895000 2042444202400 2553055253000 2917777432000 3191319066250 3647221790000 4084888404800 5106110506000 6382638132500 7294443580000 10212221012000 12765276265000 14588887160000 20424442024000 25530552530000 51061105060000 102122210120000