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121221212121000 = 233353101158328081
BaseRepresentation
bin11011100100000000000011…
…010010011010011110101000
3120220012122010200211112121000
4123210000003102122132220
5111342042020300333000
61105452131150515000
734350641433014445
oct3344000322323650
9526178120745530
10121221212121000
113569669a014812
1211719596805a60
13528415a568864
1421d11d08469cc
15e033966de000
hex6e400349a7a8

121221212121000 has 512 divisors, whose sum is σ = 424677481113600. Its totient is φ = 31984243200000.

The previous prime is 121221212120927. The next prime is 121221212121083. The reversal of 121221212121000 is 121212122121.

121221212121000 is a `hidden beast` number, since 1 + 21 + 221 + 212 + 1 + 210 + 0 + 0 = 666.

121221212121000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 127 ways as a sum of consecutive naturals, for example, 4316826960 + ... + 4316855040.

It is an arithmetic number, because the mean of its divisors is an integer number (829448205300).

Almost surely, 2121221212121000 is an apocalyptic number.

121221212121000 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 121221212121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212338740556800).

121221212121000 is an abundant number, since it is smaller than the sum of its proper divisors (303456268992600).

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

121221212121000 is a wasteful number, since it uses less digits than its factorization.

121221212121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29795 (or 29775 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121221212121000 its reverse (121212122121), we get a palindrome (121342424243121).

The spelling of 121221212121000 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred twelve million, one hundred twenty-one thousand".