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121109096400 = 24352414994933
BaseRepresentation
bin111000011001010101…
…0100010011111010000
3102120121022010112201220
41300302222202133100
53441012412041100
6131345312125040
711515124222415
oct1606252423720
9376538115656
10121109096400
11473a8a22716
121b57b236780
13b560c01526
145c0c77210c
15323c536aa0
hex1c32aa27d0

121109096400 has 240 divisors, whose sum is σ = 398292216000. Its totient is φ = 31438540800.

The previous prime is 121109096369. The next prime is 121109096429. The reversal of 121109096400 is 4690901121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 24548334 + ... + 24553266.

It is an arithmetic number, because the mean of its divisors is an integer number (1659550900).

Almost surely, 2121109096400 is an apocalyptic number.

121109096400 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 121109096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199146108000).

121109096400 is an abundant number, since it is smaller than the sum of its proper divisors (277183119600).

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

121109096400 is a wasteful number, since it uses less digits than its factorization.

121109096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5494 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

Adding to 121109096400 its reverse (4690901121), we get a palindrome (125799997521).

The spelling of 121109096400 in words is "one hundred twenty-one billion, one hundred nine million, ninety-six thousand, four hundred".