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12121966920 = 2335722389633
BaseRepresentation
bin10110100101000011…
…01000100101001000
31011021210121201111210
423102201220211020
5144311210420140
65322503453120
7606252006300
oct132241504510
934253551453
1012121966920
115160597188
1224237571a0
1311b24c9abb
1482dcca600
154ae313d80
hex2d2868948

12121966920 has 192 divisors, whose sum is σ = 44142952320. Its totient is φ = 2650238976.

The previous prime is 12121966891. The next prime is 12121966931. The reversal of 12121966920 is 2966912121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90424 + ... + 180056.

It is an arithmetic number, because the mean of its divisors is an integer number (229911210).

Almost surely, 212121966920 is an apocalyptic number.

12121966920 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 12121966920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22071476160).

12121966920 is an abundant number, since it is smaller than the sum of its proper divisors (32020985400).

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

12121966920 is a wasteful number, since it uses less digits than its factorization.

12121966920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89684 (or 89673 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 12121966920 in words is "twelve billion, one hundred twenty-one million, nine hundred sixty-six thousand, nine hundred twenty".