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120330022230000 = 24345411431272473
BaseRepresentation
bin11011010111000010000100…
…001110110001011111110000
3120210001102211010211100220000
4123113002010032301133300
5111232441341142330000
61103530503222350000
734226362060643052
oct3327020416613760
9523042733740800
10120330022230000
1135382748608240
12115b4920b8b300
13521b0c3104acb
1421a000b5658d2
15dda0d7880000
hex6d70843b17f0

120330022230000 has 2000 divisors, whose sum is σ = 489825832759296. Its totient is φ = 28256739840000.

The previous prime is 120330022229953. The next prime is 120330022230029. The reversal of 120330022230000 is 32220033021.

It is a happy number.

120330022230000 is a `hidden beast` number, since 12 + 0 + 330 + 0 + 2 + 22 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2000).

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

It is a congruent number.

It is an unprimeable number.

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 399 ways as a sum of consecutive naturals, for example, 48657508764 + ... + 48657511236.

Almost surely, 2120330022230000 is an apocalyptic number.

120330022230000 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 120330022230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244912916379648).

120330022230000 is an abundant number, since it is smaller than the sum of its proper divisors (369495810529296).

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

120330022230000 is a wasteful number, since it uses less digits than its factorization.

120330022230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 120330022230000 its reverse (32220033021), we get a palindrome (120362242263021).

The spelling of 120330022230000 in words is "one hundred twenty trillion, three hundred thirty billion, twenty-two million, two hundred thirty thousand".