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1200011120000 = 27547111910253
BaseRepresentation
bin10001011101100110001…
…111001000110110000000
311020201102211122001202022
4101131212033020312000
5124130110321320000
62315135534541012
7152461252135610
oct21354617106600
94221384561668
101200011120000
11422a15aa1780
121746a1367768
13892119ac2a4
144211bbc0a40
1521335b85585
hex117663c8d80

1200011120000 has 640 divisors, whose sum is σ = 3920899910400. Its totient is φ = 354309120000.

The previous prime is 1200011119877. The next prime is 1200011120027. The reversal of 1200011120000 is 211100021.

It is a tau number, because it is divible by the number of its divisors (640).

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 1200011120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117034874 + ... + 117045126.

It is an arithmetic number, because the mean of its divisors is an integer number (6126406110).

Almost surely, 21200011120000 is an apocalyptic number.

1200011120000 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 1200011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960449955200).

1200011120000 is an abundant number, since it is smaller than the sum of its proper divisors (2720888790400).

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

1200011120000 is a wasteful number, since it uses less digits than its factorization.

1200011120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10324 (or 10297 counting only the distinct ones).

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

Adding to 1200011120000 its reverse (211100021), we get a palindrome (1200222220021).

The spelling of 1200011120000 in words is "one trillion, two hundred billion, eleven million, one hundred twenty thousand".