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1200111020992 = 261341131271991
BaseRepresentation
bin10001011101101100001…
…100001110101111000000
311020201200210121120011001
4101131230030032233000
5124130311410132432
62315153504101344
7152463604236262
oct21355414165700
94221623546131
101200111020992
11422a67425884
1217470a904854
13892295b99c0
144212b187b32
152133e81a9e7
hex1176c30ebc0

1200111020992 has 224 divisors, whose sum is σ = 2659717767168. Its totient is φ = 533744640000.

The previous prime is 1200111020987. The next prime is 1200111021019. The reversal of 1200111020992 is 2990201110021.

It is a self number, because there is not a number n which added to its sum of digits gives 1200111020992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1211009617 + ... + 1211010607.

It is an arithmetic number, because the mean of its divisors is an integer number (11873740032).

Almost surely, 21200111020992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200111020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329858883584).

1200111020992 is an abundant number, since it is smaller than the sum of its proper divisors (1459606746176).

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

1200111020992 is a wasteful number, since it uses less digits than its factorization.

1200111020992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The spelling of 1200111020992 in words is "one trillion, two hundred billion, one hundred eleven million, twenty thousand, nine hundred ninety-two".