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12200121100120 = 2351772724678617
BaseRepresentation
bin1011000110001000111111…
…1000100110011101011000
31121012022122102020022102111
42301202033320212131120
53044341322000200440
641540354103442104
72366300242212052
oct261421770463530
947168572208374
1012200121100120
113984051339348
12145056ba56334
136a660ab2c625
143026bbbc48d2
15162546d164ea
hexb188fe26758

12200121100120 has 64 divisors (see below), whose sum is σ = 29104974924480. Its totient is φ = 4586668855296.

The previous prime is 12200121100043. The next prime is 12200121100127. The reversal of 12200121100120 is 2100112100221.

12200121100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12200121100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200121100127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11844949 + ... + 12833668.

It is an arithmetic number, because the mean of its divisors is an integer number (454765233195).

Almost surely, 212200121100120 is an apocalyptic number.

12200121100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200121100120 is an abundant number, since it is smaller than the sum of its proper divisors (16904853824360).

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

12200121100120 is a wasteful number, since it uses less digits than its factorization.

12200121100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24679372 (or 24679368 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12200121100120 its reverse (2100112100221), we get a palindrome (14300233200341).

The spelling of 12200121100120 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 727 1454 2908 3635 5816 7270 12359 14540 24718 29080 49436 61795 98872 123590 247180 494360 24678617 49357234 98714468 123393085 197428936 246786170 419536489 493572340 839072978 987144680 1678145956 2097682445 3356291912 4195364890 8390729780 16781459560 17941354559 35882709118 71765418236 89706772795 143530836472 179413545590 305003027503 358827091180 610006055006 717654182360 1220012110012 1525015137515 2440024220024 3050030275030 6100060550060 12200121100120