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12011250120 = 2335412441311
BaseRepresentation
bin10110010111110110…
…10010000111001000
31011000002021201121120
423023323102013020
5144044340000440
65303510435240
7603435640632
oct131373220710
934002251546
1012011250120
115104045aa1
1223b2662b20
1311955a33bc
1481d309a52
154a4743dd0
hex2cbed21c8

12011250120 has 64 divisors (see below), whose sum is σ = 36912637440. Its totient is φ = 3124876800.

The previous prime is 12011250109. The next prime is 12011250191. The reversal of 12011250120 is 2105211021.

12011250120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12011250120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1215736 + ... + 1225575.

It is an arithmetic number, because the mean of its divisors is an integer number (576759960).

Almost surely, 212011250120 is an apocalyptic number.

12011250120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011250120 is an abundant number, since it is smaller than the sum of its proper divisors (24901387320).

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

12011250120 is a wasteful number, since it uses less digits than its factorization.

12011250120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441366 (or 2441362 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 12011250120 its reverse (2105211021), we get a palindrome (14116461141).

The spelling of 12011250120 in words is "twelve billion, eleven million, two hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 2441311 4882622 7323933 9765244 12206555 14647866 19530488 24413110 29295732 36619665 48826220 58591464 73239330 97652440 100093751 146478660 200187502 292957320 300281253 400375004 500468755 600562506 800750008 1000937510 1201125012 1501406265 2001875020 2402250024 3002812530 4003750040 6005625060 12011250120