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121111230000 = 2435417261229
BaseRepresentation
bin111000011001011001…
…0101011011000110000
3102120121110010221111010
41300302302223120300
53441013433330000
6131345425550520
711515151320005
oct1606262533060
9376543127433
10121111230000
11473aa14a722
121b57baa5440
13b56149a707
145c0cb698ac
15323c808d50
hex1c32cab630

121111230000 has 600 divisors, whose sum is σ = 423965600080. Its totient is φ = 29767680000.

The previous prime is 121111229977. The next prime is 121111230059. The reversal of 121111230000 is 32111121.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×1211112300002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 528869886 + ... + 528870114.

Almost surely, 2121111230000 is an apocalyptic number.

121111230000 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 121111230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211982800040).

121111230000 is an abundant number, since it is smaller than the sum of its proper divisors (302854370080).

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

121111230000 is a wasteful number, since it uses less digits than its factorization.

121111230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 121111230000 its reverse (32111121), we get a palindrome (121143341121).

The spelling of 121111230000 in words is "one hundred twenty-one billion, one hundred eleven million, two hundred thirty thousand".