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1201125494464 = 2672897925469
BaseRepresentation
bin10001011110101000101…
…010001000111011000000
311020211022111112011010121
4101132220222020323000
5124134401111310324
62315442303510024
7152531003151010
oct21365052107300
94224274464117
101201125494464
11423438034805
121749525b8314
138935b82396c
14421c5bc1c40
152139d90a5e4
hex117a8a88ec0

1201125494464 has 56 divisors (see below), whose sum is σ = 2724924252960. Its totient is φ = 514589822976.

The previous prime is 1201125494431. The next prime is 1201125494507. The reversal of 1201125494464 is 4644945211021.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 1201125494464.

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 7 ways as a sum of consecutive naturals, for example, 835122 + ... + 1760590.

It is an arithmetic number, because the mean of its divisors is an integer number (48659361660).

Almost surely, 21201125494464 is an apocalyptic number.

1201125494464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1201125494464 is an abundant number, since it is smaller than the sum of its proper divisors (1523798758496).

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

1201125494464 is an equidigital number, since it uses as much as digits as its factorization.

1201125494464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928385 (or 928375 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 1201125494464 in words is "one trillion, two hundred one billion, one hundred twenty-five million, four hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 2897 5794 11588 20279 23176 40558 46352 81116 92704 162232 185408 324464 648928 925469 1297856 1850938 3701876 6478283 7403752 12956566 14807504 25913132 29615008 51826264 59230016 103652528 207305056 414610112 2681083693 5362167386 10724334772 18767585851 21448669544 37535171702 42897339088 75070343404 85794678176 150140686808 171589356352 300281373616 600562747232 1201125494464