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121033021320000 = 2632541737092741
BaseRepresentation
bin11011100001010000110010…
…001111011110101101000000
3120212112122101100122022200100
4123201100302033132231000
5111331001111424220000
61105225445152522400
734331230045422156
oct3341206217365500
9525478340568610
10121033021320000
11356238a8235609
12116a9015b50400
13526c4989c7cca
1421c605acb73d6
15ded52ed9ba00
hex6e14323deb40

121033021320000 has 840 divisors, whose sum is σ = 436790470339080. Its totient is φ = 32031959040000.

The previous prime is 121033021319999. The next prime is 121033021320007. The reversal of 121033021320000 is 23120330121.

121033021320000 is a `hidden beast` number, since 1 + 2 + 10 + 330 + 2 + 1 + 320 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 120857306094144 + 175715225856 = 10993512^2 + 419184^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121033021320007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44156518630 + ... + 44156521370.

Almost surely, 2121033021320000 is an apocalyptic number.

121033021320000 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 121033021320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218395235169540).

121033021320000 is an abundant number, since it is smaller than the sum of its proper divisors (315757449019080).

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

121033021320000 is a wasteful number, since it uses less digits than its factorization.

121033021320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121033021320000 its reverse (23120330121), we get a palindrome (121056141650121).

The spelling of 121033021320000 in words is "one hundred twenty-one trillion, thirty-three billion, twenty-one million, three hundred twenty thousand".