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12300121120320 = 2632511788349253
BaseRepresentation
bin1011001011111101100001…
…0110011001111001000000
31121112212202120220200101100
42302333120112121321000
53103011122001322240
642054333031134400
72406440316313335
oct262773026317100
947485676820340
1012300121120320
113a124a7788640
121467a19814400
136b2b86648307
14307486c4c98c
15164e4b056e30
hexb2fd8599e40

12300121120320 has 336 divisors, whose sum is σ = 46160201011392. Its totient is φ = 2981408747520.

The previous prime is 12300121120307. The next prime is 12300121120351. The reversal of 12300121120320 is 2302112100321.

12300121120320 is a `hidden beast` number, since 1 + 2 + 300 + 1 + 21 + 1 + 20 + 320 = 666.

12300121120320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12300121120293 and 12300121120302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249708814 + ... + 249758066.

Almost surely, 212300121120320 is an apocalyptic number.

12300121120320 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 12300121120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23080100505696).

12300121120320 is an abundant number, since it is smaller than the sum of its proper divisors (33860079891072).

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

12300121120320 is a wasteful number, since it uses less digits than its factorization.

12300121120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57170 (or 57157 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12300121120320 its reverse (2302112100321), we get a palindrome (14602233220641).

The spelling of 12300121120320 in words is "twelve trillion, three hundred billion, one hundred twenty-one million, one hundred twenty thousand, three hundred twenty".