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12012110000 = 245411109201
BaseRepresentation
bin10110010111111101…
…00100000010110000
31011000010220102010222
423023332210002300
5144100100010000
65303541112212
7603446151602
oct131376440260
934003812128
1012012110000
115104583040
1223b29b8668
1311958148c7
1481d491172
154a4863a85
hex2cbfa40b0

12012110000 has 100 divisors (see below), whose sum is σ = 31726675464. Its totient is φ = 4368000000.

The previous prime is 12012109987. The next prime is 12012110003. The reversal of 12012110000 is 1121021.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12012110000.

It is not an unprimeable number, because it can be changed into a prime (12012110003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55400 + ... + 164600.

Almost surely, 212012110000 is an apocalyptic number.

12012110000 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 12012110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863337732).

12012110000 is an abundant number, since it is smaller than the sum of its proper divisors (19714565464).

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

12012110000 is a wasteful number, since it uses less digits than its factorization.

12012110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109240 (or 109219 counting only the distinct ones).

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

Adding to 12012110000 its reverse (1121021), we get a palindrome (12013231021).

The spelling of 12012110000 in words is "twelve billion, twelve million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 109201 110000 218402 436804 546005 873608 1092010 1201211 1747216 2184020 2402422 2730025 4368040 4804844 5460050 6006055 8736080 9609688 10920100 12012110 13650125 19219376 21840200 24024220 27300250 30030275 43680400 48048440 54600500 60060550 68250625 96096880 109201000 120121100 136501250 150151375 218402000 240242200 273002500 300302750 480484400 546005000 600605500 750756875 1092010000 1201211000 1501513750 2402422000 3003027500 6006055000 12012110000