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12120030720 = 29325775149
BaseRepresentation
bin10110100100110100…
…01111111000000000
31011021122222100112200
423102122033320000
5144310211440340
65322354153200
7606226363350
oct132232177000
934248870480
1012120030720
11515a494516
122422b82800
1311b1c9c715
1482d944b60
154ae080330
hex2d268fe00

12120030720 has 240 divisors, whose sum is σ = 47972152800. Its totient is φ = 2770255872.

The previous prime is 12120030709. The next prime is 12120030731. The reversal of 12120030720 is 2703002121.

It is an interprime number because it is at equal distance from previous prime (12120030709) and next prime (12120030731).

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

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 = 12120030693 and 12120030702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123706 + ... + 198854.

It is an arithmetic number, because the mean of its divisors is an integer number (199883970).

Almost surely, 212120030720 is an apocalyptic number.

12120030720 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 12120030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23986076400).

12120030720 is an abundant number, since it is smaller than the sum of its proper divisors (35852122080).

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

12120030720 is an equidigital number, since it uses as much as digits as its factorization.

12120030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75185 (or 75166 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 12120030720 its reverse (2703002121), we get a palindrome (14823032841).

The spelling of 12120030720 in words is "twelve billion, one hundred twenty million, thirty thousand, seven hundred twenty".