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1097161200000 = 27345533863
BaseRepresentation
bin11111111011100111110…
…01110101000110000000
310212212222001100210020000
433331303321311012000
5120433441231400000
62200010124120000
7142160451216465
oct17756371650600
93785861323200
101097161200000
11393337992598
12158779096000
137c600914768
143b16246366c
151d816650000
hexff73e75180

1097161200000 has 480 divisors, whose sum is σ = 4081276750320. Its totient is φ = 292567680000.

The previous prime is 1097161199971. The next prime is 1097161200007. The reversal of 1097161200000 is 21617901.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097161200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32383069 + ... + 32416931.

Almost surely, 21097161200000 is an apocalyptic number.

1097161200000 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 1097161200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040638375160).

1097161200000 is an abundant number, since it is smaller than the sum of its proper divisors (2984115550320).

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

1097161200000 is an frugal number, since it uses more digits than its factorization.

1097161200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33914 (or 33873 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

Adding to 1097161200000 its reverse (21617901), we get a palindrome (1097182817901).

The spelling of 1097161200000 in words is "one trillion, ninety-seven billion, one hundred sixty-one million, two hundred thousand".