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12101232221120 = 265721796077103
BaseRepresentation
bin1011000000011000100110…
…1001011101101111000000
31120211212101200100202122102
42300012021221131233000
53041231310422033440
641423121311525532
72356166546465300
oct260061151355700
946755350322572
1012101232221120
113946116123969
1214353722298a8
1369a1ab595743
142db9ba559600
1515ebaa40cb15
hexb0189a5dbc0

12101232221120 has 336 divisors, whose sum is σ = 33768274083840. Its totient is φ = 4118438209536.

The previous prime is 12101232221003. The next prime is 12101232221131. The reversal of 12101232221120 is 2112223210121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12101232221092 and 12101232221101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1703675489 + ... + 1703682591.

Almost surely, 212101232221120 is an apocalyptic number.

12101232221120 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 12101232221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16884137041920).

12101232221120 is an abundant number, since it is smaller than the sum of its proper divisors (21667041862720).

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

12101232221120 is a wasteful number, since it uses less digits than its factorization.

12101232221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7920 (or 7903 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12101232221120 its reverse (2112223210121), we get a palindrome (14213455431241).

The spelling of 12101232221120 in words is "twelve trillion, one hundred one billion, two hundred thirty-two million, two hundred twenty-one thousand, one hundred twenty".