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121044004000000 = 285655012
BaseRepresentation
bin11011100001011011000000…
…110111000101000100000000
3120212120200201202111021100021
4123201123000313011010000
5111331141110011000000
61105234503041503224
734332066154600324
oct3341330067050400
9525520652437307
10121044004000000
1135628523713654
12116ab180041b14
13527052916a023
1421c67bd759984
15ded97416911a
hex6e16c0dc5100

121044004000000 has 189 divisors, whose sum is σ = 302070020817523. Its totient is φ = 48408800000000.

The previous prime is 121044003999983. The next prime is 121044004000001. The reversal of 121044004000000 is 400440121.

The square root of 121044004000000 is 11002000.

It is a perfect power (a square), and thus also a powerful number.

121044004000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 115030601453824 + 6013402546176 = 10725232^2 + 2452224^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121044004000001) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 22003997250 + ... + 22004002750.

Almost surely, 2121044004000000 is an apocalyptic number.

121044004000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121044004000000 is the 11002000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121044004000000

121044004000000 is an abundant number, since it is smaller than the sum of its proper divisors (181026016817523).

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

121044004000000 is an frugal number, since it uses more digits than its factorization.

121044004000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11048 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

121044004000000 divided by its sum of digits (16) gives a square (7565250250000 = 27505002).

Adding to 121044004000000 its reverse (400440121), we get a palindrome (121044404440121).

The spelling of 121044004000000 in words is "one hundred twenty-one trillion, forty-four billion, four million", and thus it is an aban number.